7-2(2d-1)-13(d+1)=59-8d

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Solution for 7-2(2d-1)-13(d+1)=59-8d equation:


Simplifying
7 + -2(2d + -1) + -13(d + 1) = 59 + -8d

Reorder the terms:
7 + -2(-1 + 2d) + -13(d + 1) = 59 + -8d
7 + (-1 * -2 + 2d * -2) + -13(d + 1) = 59 + -8d
7 + (2 + -4d) + -13(d + 1) = 59 + -8d

Reorder the terms:
7 + 2 + -4d + -13(1 + d) = 59 + -8d
7 + 2 + -4d + (1 * -13 + d * -13) = 59 + -8d
7 + 2 + -4d + (-13 + -13d) = 59 + -8d

Reorder the terms:
7 + 2 + -13 + -4d + -13d = 59 + -8d

Combine like terms: 7 + 2 = 9
9 + -13 + -4d + -13d = 59 + -8d

Combine like terms: 9 + -13 = -4
-4 + -4d + -13d = 59 + -8d

Combine like terms: -4d + -13d = -17d
-4 + -17d = 59 + -8d

Solving
-4 + -17d = 59 + -8d

Solving for variable 'd'.

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

Add '8d' to each side of the equation.
-4 + -17d + 8d = 59 + -8d + 8d

Combine like terms: -17d + 8d = -9d
-4 + -9d = 59 + -8d + 8d

Combine like terms: -8d + 8d = 0
-4 + -9d = 59 + 0
-4 + -9d = 59

Add '4' to each side of the equation.
-4 + 4 + -9d = 59 + 4

Combine like terms: -4 + 4 = 0
0 + -9d = 59 + 4
-9d = 59 + 4

Combine like terms: 59 + 4 = 63
-9d = 63

Divide each side by '-9'.
d = -7

Simplifying
d = -7

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