-31(2c+3)=2(c+4)+c

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Solution for -31(2c+3)=2(c+4)+c equation:


Simplifying
-31(2c + 3) = 2(c + 4) + c

Reorder the terms:
-31(3 + 2c) = 2(c + 4) + c
(3 * -31 + 2c * -31) = 2(c + 4) + c
(-93 + -62c) = 2(c + 4) + c

Reorder the terms:
-93 + -62c = 2(4 + c) + c
-93 + -62c = (4 * 2 + c * 2) + c
-93 + -62c = (8 + 2c) + c

Combine like terms: 2c + c = 3c
-93 + -62c = 8 + 3c

Solving
-93 + -62c = 8 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
-93 + -62c + -3c = 8 + 3c + -3c

Combine like terms: -62c + -3c = -65c
-93 + -65c = 8 + 3c + -3c

Combine like terms: 3c + -3c = 0
-93 + -65c = 8 + 0
-93 + -65c = 8

Add '93' to each side of the equation.
-93 + 93 + -65c = 8 + 93

Combine like terms: -93 + 93 = 0
0 + -65c = 8 + 93
-65c = 8 + 93

Combine like terms: 8 + 93 = 101
-65c = 101

Divide each side by '-65'.
c = -1.553846154

Simplifying
c = -1.553846154

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