How do you solve #8-3/8k=-4#?

Question

Savannah Anderson · Accepted Answer

#k=32# #8-3/8k=-4# or #3/8k=8+4# or #3/8k=12# or #k=12times8/3# or #k=32#

Julia Adams · Answer

See the entire solution process below:

Step 1) Subtract #color(red)(8)# from each side of the equation to isolate the #k# term while keeping the equation balanced: #-color(red)(8) + 8 - 3/8k = -color(red)(8) - 4# #0 - 3/8k = -12# #-3/8k = -12# Step 2) Multiply each side of the equation by #-color(red)(8)/color(blue)(3)# to solve for #k# while keeping the equation balanced: #-color(red)(8)/color(blue)(3) xx -3/8k = -color(red)(8)/color(blue)(3) xx -12# #-cancel(color(red)(8))/cancel(color(blue)(3)) xx -color(blue)(cancel(color(black)(3)))/color(red)(cancel(color(black)(8)))k = -color(red)(8)/color(blue)(3) xx -(3 xx 4)# #k = -color(red)(8)/cancel(color(blue)(3)) xx -(color(blue)(cancel(color(black)(3))) xx 4)# #k = 32#

Ethan Adkins · Answer

undefined To solve the equation 8 - (3/8)k = -4, follow these steps:

1. Add 4 to both sides: 8 - (3/8)k + 4 = -4 + 4
2. Simplify: 8 + 4 - (3/8)k = 0
3. Combine like terms: 12 - (3/8)k = 0
4. Subtract 12 from both sides: 12 - 12 - (3/8)k = 0 - 12
5. Simplify: -(3/8)k = -12
6. Multiply both sides by -8/3: -(3/8)k * (-8/3) = -12 * (-8/3)
7. Simplify: k = 32