-2(9c-6)+5(c+9)=31

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Solution for -2(9c-6)+5(c+9)=31 equation:


Simplifying
-2(9c + -6) + 5(c + 9) = 31

Reorder the terms:
-2(-6 + 9c) + 5(c + 9) = 31
(-6 * -2 + 9c * -2) + 5(c + 9) = 31
(12 + -18c) + 5(c + 9) = 31

Reorder the terms:
12 + -18c + 5(9 + c) = 31
12 + -18c + (9 * 5 + c * 5) = 31
12 + -18c + (45 + 5c) = 31

Reorder the terms:
12 + 45 + -18c + 5c = 31

Combine like terms: 12 + 45 = 57
57 + -18c + 5c = 31

Combine like terms: -18c + 5c = -13c
57 + -13c = 31

Solving
57 + -13c = 31

Solving for variable 'c'.

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

Add '-57' to each side of the equation.
57 + -57 + -13c = 31 + -57

Combine like terms: 57 + -57 = 0
0 + -13c = 31 + -57
-13c = 31 + -57

Combine like terms: 31 + -57 = -26
-13c = -26

Divide each side by '-13'.
c = 2

Simplifying
c = 2

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