7(-2c-17)-15c=-5(2c+20)

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Solution for 7(-2c-17)-15c=-5(2c+20) equation:


Simplifying
7(-2c + -17) + -15c = -5(2c + 20)

Reorder the terms:
7(-17 + -2c) + -15c = -5(2c + 20)
(-17 * 7 + -2c * 7) + -15c = -5(2c + 20)
(-119 + -14c) + -15c = -5(2c + 20)

Combine like terms: -14c + -15c = -29c
-119 + -29c = -5(2c + 20)

Reorder the terms:
-119 + -29c = -5(20 + 2c)
-119 + -29c = (20 * -5 + 2c * -5)
-119 + -29c = (-100 + -10c)

Solving
-119 + -29c = -100 + -10c

Solving for variable 'c'.

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

Add '10c' to each side of the equation.
-119 + -29c + 10c = -100 + -10c + 10c

Combine like terms: -29c + 10c = -19c
-119 + -19c = -100 + -10c + 10c

Combine like terms: -10c + 10c = 0
-119 + -19c = -100 + 0
-119 + -19c = -100

Add '119' to each side of the equation.
-119 + 119 + -19c = -100 + 119

Combine like terms: -119 + 119 = 0
0 + -19c = -100 + 119
-19c = -100 + 119

Combine like terms: -100 + 119 = 19
-19c = 19

Divide each side by '-19'.
c = -1

Simplifying
c = -1

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