4d-3(2d-4)=4-8d+1+d

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Solution for 4d-3(2d-4)=4-8d+1+d equation:


Simplifying
4d + -3(2d + -4) = 4 + -8d + 1 + d

Reorder the terms:
4d + -3(-4 + 2d) = 4 + -8d + 1 + d
4d + (-4 * -3 + 2d * -3) = 4 + -8d + 1 + d
4d + (12 + -6d) = 4 + -8d + 1 + d

Reorder the terms:
12 + 4d + -6d = 4 + -8d + 1 + d

Combine like terms: 4d + -6d = -2d
12 + -2d = 4 + -8d + 1 + d

Reorder the terms:
12 + -2d = 4 + 1 + -8d + d

Combine like terms: 4 + 1 = 5
12 + -2d = 5 + -8d + d

Combine like terms: -8d + d = -7d
12 + -2d = 5 + -7d

Solving
12 + -2d = 5 + -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.
12 + -2d + 7d = 5 + -7d + 7d

Combine like terms: -2d + 7d = 5d
12 + 5d = 5 + -7d + 7d

Combine like terms: -7d + 7d = 0
12 + 5d = 5 + 0
12 + 5d = 5

Add '-12' to each side of the equation.
12 + -12 + 5d = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 5d = 5 + -12
5d = 5 + -12

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

Divide each side by '5'.
d = -1.4

Simplifying
d = -1.4

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