36=5(3c-12)+4(2c+1)

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Solution for 36=5(3c-12)+4(2c+1) equation: 


Simplifying
36 = 5(3c + -12) + 4(2c + 1)

Reorder the terms:
36 = 5(-12 + 3c) + 4(2c + 1)
36 = (-12 * 5 + 3c * 5) + 4(2c + 1)
36 = (-60 + 15c) + 4(2c + 1)

Reorder the terms:
36 = -60 + 15c + 4(1 + 2c)
36 = -60 + 15c + (1 * 4 + 2c * 4)
36 = -60 + 15c + (4 + 8c)

Reorder the terms:
36 = -60 + 4 + 15c + 8c

Combine like terms: -60 + 4 = -56
36 = -56 + 15c + 8c

Combine like terms: 15c + 8c = 23c
36 = -56 + 23c

Solving
36 = -56 + 23c

Solving for variable 'c'.

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

Add '-23c' to each side of the equation.
36 + -23c = -56 + 23c + -23c

Combine like terms: 23c + -23c = 0
36 + -23c = -56 + 0
36 + -23c = -56

Add '-36' to each side of the equation.
36 + -36 + -23c = -56 + -36

Combine like terms: 36 + -36 = 0
0 + -23c = -56 + -36
-23c = -56 + -36

Combine like terms: -56 + -36 = -92
-23c = -92

Divide each side by '-23'.
c = 4

Simplifying
c = 4

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