Home > Algebra > Distributive Property for Multi-Step Equations

How do you solve #8(1+7m)+6=14#?

Answer 1

Eli Assouline

#m# = #0#

#8(1 + 7m) + 6 = 14#

First, distribute #8# to #(1 + 7m)#, per the distributive property. (Multiply 1 by 8 and 7m by 8). You should now have:

#8 + 56m + 6 = 14#

Once you combine terms that are similar (8 and 6), you should have:

#14 + 56m = 14#

Re-order the terms where #56m# is first to help reduce confusion:

#56m + 14 = 14#

As necessary, deduct.

#56m = 0#

#m = 0#

https://tutor.hix.ai(1%2B7m%5Cright)%2B6%20%3D%2014 These are the sources, along with some clarification: https://tutor.hix.ai(1+%2B+7m)+%2B+6+%3D+14

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Ethan Adkins

#m = 0#

#8(1 + 7m) + 6 = 14#

Distribute the #8# by multiplying it into the parentheses.

#8 + 56m + 6 = 14#

Add the left side numbers without #m#.

#56m + 14 = 14#

Subtract both sides by #14#.

#56m + 14 - 14 = 14 - 14#

#56m = 0#

Divide both sides by #56#.

#(56m)/56 = 0/56#

#m = 0#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 3

Kennedy Adams

To solve the equation 8(1+7m) + 6 = 14, first distribute the 8 to both terms inside the parentheses: 8 + 56m + 6 = 14. Combine like terms: 8 + 6 = 14, so 14m + 14 = 14. Then, subtract 14 from both sides: 14m = 0. Finally, divide both sides by 14 to solve for m: m = 0.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.