3(8-c)-7=13-(12+2d)

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Solution for 3(8-c)-7=13-(12+2d) equation:


Simplifying
3(8 + -1c) + -7 = 13 + -1(12 + 2d)
(8 * 3 + -1c * 3) + -7 = 13 + -1(12 + 2d)
(24 + -3c) + -7 = 13 + -1(12 + 2d)

Reorder the terms:
24 + -7 + -3c = 13 + -1(12 + 2d)

Combine like terms: 24 + -7 = 17
17 + -3c = 13 + -1(12 + 2d)
17 + -3c = 13 + (12 * -1 + 2d * -1)
17 + -3c = 13 + (-12 + -2d)

Combine like terms: 13 + -12 = 1
17 + -3c = 1 + -2d

Solving
17 + -3c = 1 + -2d

Solving for variable 'c'.

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

Add '-17' to each side of the equation.
17 + -17 + -3c = 1 + -17 + -2d

Combine like terms: 17 + -17 = 0
0 + -3c = 1 + -17 + -2d
-3c = 1 + -17 + -2d

Combine like terms: 1 + -17 = -16
-3c = -16 + -2d

Divide each side by '-3'.
c = 5.333333333 + 0.6666666667d

Simplifying
c = 5.333333333 + 0.6666666667d

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