[9(c+4)-16]-[2(c-4)+3]=

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Solution for [9(c+4)-16]-[2(c-4)+3]= equation:


Simplifying
[9(c + 4) + -16] + -1[2(c + -4) + 3] = 0

Reorder the terms:
[9(4 + c) + -16] + -1[2(c + -4) + 3] = 0
[(4 * 9 + c * 9) + -16] + -1[2(c + -4) + 3] = 0
[(36 + 9c) + -16] + -1[2(c + -4) + 3] = 0

Reorder the terms:
[36 + -16 + 9c] + -1[2(c + -4) + 3] = 0

Combine like terms: 36 + -16 = 20
[20 + 9c] + -1[2(c + -4) + 3] = 0

Remove brackets around [20 + 9c]
20 + 9c + -1[2(c + -4) + 3] = 0

Reorder the terms:
20 + 9c + -1[2(-4 + c) + 3] = 0
20 + 9c + -1[(-4 * 2 + c * 2) + 3] = 0
20 + 9c + -1[(-8 + 2c) + 3] = 0

Reorder the terms:
20 + 9c + -1[-8 + 3 + 2c] = 0

Combine like terms: -8 + 3 = -5
20 + 9c + -1[-5 + 2c] = 0
20 + 9c + [-5 * -1 + 2c * -1] = 0
20 + 9c + [5 + -2c] = 0

Reorder the terms:
20 + 5 + 9c + -2c = 0

Combine like terms: 20 + 5 = 25
25 + 9c + -2c = 0

Combine like terms: 9c + -2c = 7c
25 + 7c = 0

Solving
25 + 7c = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + -25 + 7c = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 7c = 0 + -25
7c = 0 + -25

Combine like terms: 0 + -25 = -25
7c = -25

Divide each side by '7'.
c = -3.571428571

Simplifying
c = -3.571428571

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