2d+18=12-6(d+7)

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Solution for 2d+18=12-6(d+7) equation:


Simplifying
2d + 18 = 12 + -6(d + 7)

Reorder the terms:
18 + 2d = 12 + -6(d + 7)

Reorder the terms:
18 + 2d = 12 + -6(7 + d)
18 + 2d = 12 + (7 * -6 + d * -6)
18 + 2d = 12 + (-42 + -6d)

Combine like terms: 12 + -42 = -30
18 + 2d = -30 + -6d

Solving
18 + 2d = -30 + -6d

Solving for variable 'd'.

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

Add '6d' to each side of the equation.
18 + 2d + 6d = -30 + -6d + 6d

Combine like terms: 2d + 6d = 8d
18 + 8d = -30 + -6d + 6d

Combine like terms: -6d + 6d = 0
18 + 8d = -30 + 0
18 + 8d = -30

Add '-18' to each side of the equation.
18 + -18 + 8d = -30 + -18

Combine like terms: 18 + -18 = 0
0 + 8d = -30 + -18
8d = -30 + -18

Combine like terms: -30 + -18 = -48
8d = -48

Divide each side by '8'.
d = -6

Simplifying
d = -6

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