-12(d-7)+3(4d+4)=-d-(6d+30)

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Solution for -12(d-7)+3(4d+4)=-d-(6d+30) equation:


Simplifying
-12(d + -7) + 3(4d + 4) = -1d + -1(6d + 30)

Reorder the terms:
-12(-7 + d) + 3(4d + 4) = -1d + -1(6d + 30)
(-7 * -12 + d * -12) + 3(4d + 4) = -1d + -1(6d + 30)
(84 + -12d) + 3(4d + 4) = -1d + -1(6d + 30)

Reorder the terms:
84 + -12d + 3(4 + 4d) = -1d + -1(6d + 30)
84 + -12d + (4 * 3 + 4d * 3) = -1d + -1(6d + 30)
84 + -12d + (12 + 12d) = -1d + -1(6d + 30)

Reorder the terms:
84 + 12 + -12d + 12d = -1d + -1(6d + 30)

Combine like terms: 84 + 12 = 96
96 + -12d + 12d = -1d + -1(6d + 30)

Combine like terms: -12d + 12d = 0
96 + 0 = -1d + -1(6d + 30)
96 = -1d + -1(6d + 30)

Reorder the terms:
96 = -1d + -1(30 + 6d)
96 = -1d + (30 * -1 + 6d * -1)
96 = -1d + (-30 + -6d)

Reorder the terms:
96 = -30 + -1d + -6d

Combine like terms: -1d + -6d = -7d
96 = -30 + -7d

Solving
96 = -30 + -7d

Solving for variable 'd'.

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

Add '7d' to each side of the equation.
96 + 7d = -30 + -7d + 7d

Combine like terms: -7d + 7d = 0
96 + 7d = -30 + 0
96 + 7d = -30

Add '-96' to each side of the equation.
96 + -96 + 7d = -30 + -96

Combine like terms: 96 + -96 = 0
0 + 7d = -30 + -96
7d = -30 + -96

Combine like terms: -30 + -96 = -126
7d = -126

Divide each side by '7'.
d = -18

Simplifying
d = -18

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