8d+4(3-6d)-12d=5-(4d-7)

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Solution for 8d+4(3-6d)-12d=5-(4d-7) equation:


Simplifying
8d + 4(3 + -6d) + -12d = 5 + -1(4d + -7)
8d + (3 * 4 + -6d * 4) + -12d = 5 + -1(4d + -7)
8d + (12 + -24d) + -12d = 5 + -1(4d + -7)

Reorder the terms:
12 + 8d + -24d + -12d = 5 + -1(4d + -7)

Combine like terms: 8d + -24d = -16d
12 + -16d + -12d = 5 + -1(4d + -7)

Combine like terms: -16d + -12d = -28d
12 + -28d = 5 + -1(4d + -7)

Reorder the terms:
12 + -28d = 5 + -1(-7 + 4d)
12 + -28d = 5 + (-7 * -1 + 4d * -1)
12 + -28d = 5 + (7 + -4d)

Combine like terms: 5 + 7 = 12
12 + -28d = 12 + -4d

Add '-12' to each side of the equation.
12 + -12 + -28d = 12 + -12 + -4d

Combine like terms: 12 + -12 = 0
0 + -28d = 12 + -12 + -4d
-28d = 12 + -12 + -4d

Combine like terms: 12 + -12 = 0
-28d = 0 + -4d
-28d = -4d

Solving
-28d = -4d

Solving for variable 'd'.

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

Add '4d' to each side of the equation.
-28d + 4d = -4d + 4d

Combine like terms: -28d + 4d = -24d
-24d = -4d + 4d

Combine like terms: -4d + 4d = 0
-24d = 0

Divide each side by '-24'.
d = 0

Simplifying
d = 0

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