4(-2d)-12(d+3)=8(-2d+4)

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Solution for 4(-2d)-12(d+3)=8(-2d+4) equation:


Simplifying
4(-2d) + -12(d + 3) = 8(-2d + 4)

Remove parenthesis around (-2d)
4 * -2d + -12(d + 3) = 8(-2d + 4)

Multiply 4 * -2
-8d + -12(d + 3) = 8(-2d + 4)

Reorder the terms:
-8d + -12(3 + d) = 8(-2d + 4)
-8d + (3 * -12 + d * -12) = 8(-2d + 4)
-8d + (-36 + -12d) = 8(-2d + 4)

Reorder the terms:
-36 + -8d + -12d = 8(-2d + 4)

Combine like terms: -8d + -12d = -20d
-36 + -20d = 8(-2d + 4)

Reorder the terms:
-36 + -20d = 8(4 + -2d)
-36 + -20d = (4 * 8 + -2d * 8)
-36 + -20d = (32 + -16d)

Solving
-36 + -20d = 32 + -16d

Solving for variable 'd'.

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

Add '16d' to each side of the equation.
-36 + -20d + 16d = 32 + -16d + 16d

Combine like terms: -20d + 16d = -4d
-36 + -4d = 32 + -16d + 16d

Combine like terms: -16d + 16d = 0
-36 + -4d = 32 + 0
-36 + -4d = 32

Add '36' to each side of the equation.
-36 + 36 + -4d = 32 + 36

Combine like terms: -36 + 36 = 0
0 + -4d = 32 + 36
-4d = 32 + 36

Combine like terms: 32 + 36 = 68
-4d = 68

Divide each side by '-4'.
d = -17

Simplifying
d = -17

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