(7c-9)+(c-6)16=-100

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Solution for (7c-9)+(c-6)16=-100 equation:


Simplifying
(7c + -9) + (c + -6) * 16 = -100

Reorder the terms:
(-9 + 7c) + (c + -6) * 16 = -100

Remove parenthesis around (-9 + 7c)
-9 + 7c + (c + -6) * 16 = -100

Reorder the terms:
-9 + 7c + (-6 + c) * 16 = -100

Reorder the terms for easier multiplication:
-9 + 7c + 16(-6 + c) = -100
-9 + 7c + (-6 * 16 + c * 16) = -100
-9 + 7c + (-96 + 16c) = -100

Reorder the terms:
-9 + -96 + 7c + 16c = -100

Combine like terms: -9 + -96 = -105
-105 + 7c + 16c = -100

Combine like terms: 7c + 16c = 23c
-105 + 23c = -100

Solving
-105 + 23c = -100

Solving for variable 'c'.

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

Add '105' to each side of the equation.
-105 + 105 + 23c = -100 + 105

Combine like terms: -105 + 105 = 0
0 + 23c = -100 + 105
23c = -100 + 105

Combine like terms: -100 + 105 = 5
23c = 5

Divide each side by '23'.
c = 0.2173913043

Simplifying
c = 0.2173913043

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