How do you use order of operations to simplify #3(-2) +6 -(-2) - 5#?

Question

Eva Adamson · Accepted Answer

#-3#

Count the number of terms first and simplify each term to a single number.

Add or subtract the answers in the last step.

#color(magenta)(3(−2))color(blue)(+6)color(green)(−(−2))color(red)(−5)" has 4 terms"#

=#color(magenta)(-6)color(blue)(+6)color(green)(+2)color(red)(−5)#

=#-3#

Avery Alexander · Answer

Order of operations This is sometimes simplified as
PEDMAS but this can be misleading since
Division and Multiplication are at the same level
and
Addition and Subtraction are at the same level
(and it doesn't acknowledge the Left to Right rule) For the given expression
#3(−2)+6−(−2)−5# 4.a #(-6)+6 = 0# and the expression becomes #0-(-2)-5#
4.b #0-(-2) = 2# and the expression becomes #2-5#
4.c #2-5 = -3# #3(−2)+6−(−2)−5#
#=(−6)+6−(−2)−5#
#=0-(-2)-5#
#=2-5#
#= -3#

Isaiah Anthony · Answer

undefined To simplify the expression using the order of operations, you first perform the operations inside the parentheses, then any multiplication or division, and finally any addition or subtraction from left to right. Here's the breakdown:

1. Simplify inside the parentheses: 3(-2) = -6 and -(-2) = 2.
2. Rewrite the expression with the simplified terms: -6 + 6 - 2 - 5.
3. Combine like terms: -6 + 6 = 0.
4. Continue simplifying: 0 - 2 = -2, and finally -2 - 5 = -7.

So, the simplified form of 3(-2) + 6 - (-2) - 5 is -7.