48(3c+4)=2(c+7)+c

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Solution for 48(3c+4)=2(c+7)+c equation: 


Simplifying
48(3c + 4) = 2(c + 7) + c

Reorder the terms:
48(4 + 3c) = 2(c + 7) + c
(4 * 48 + 3c * 48) = 2(c + 7) + c
(192 + 144c) = 2(c + 7) + c

Reorder the terms:
192 + 144c = 2(7 + c) + c
192 + 144c = (7 * 2 + c * 2) + c
192 + 144c = (14 + 2c) + c

Combine like terms: 2c + c = 3c
192 + 144c = 14 + 3c

Solving
192 + 144c = 14 + 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.
192 + 144c + -3c = 14 + 3c + -3c

Combine like terms: 144c + -3c = 141c
192 + 141c = 14 + 3c + -3c

Combine like terms: 3c + -3c = 0
192 + 141c = 14 + 0
192 + 141c = 14

Add '-192' to each side of the equation.
192 + -192 + 141c = 14 + -192

Combine like terms: 192 + -192 = 0
0 + 141c = 14 + -192
141c = 14 + -192

Combine like terms: 14 + -192 = -178
141c = -178

Divide each side by '141'.
c = -1.262411348

Simplifying
c = -1.262411348

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