2(4-9d)-(2d+3)=-8(4-d)+3(1+2d)

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Solution for 2(4-9d)-(2d+3)=-8(4-d)+3(1+2d) equation: 


Simplifying
2(4 + -9d) + -1(2d + 3) = -8(4 + -1d) + 3(1 + 2d)
(4 * 2 + -9d * 2) + -1(2d + 3) = -8(4 + -1d) + 3(1 + 2d)
(8 + -18d) + -1(2d + 3) = -8(4 + -1d) + 3(1 + 2d)

Reorder the terms:
8 + -18d + -1(3 + 2d) = -8(4 + -1d) + 3(1 + 2d)
8 + -18d + (3 * -1 + 2d * -1) = -8(4 + -1d) + 3(1 + 2d)
8 + -18d + (-3 + -2d) = -8(4 + -1d) + 3(1 + 2d)

Reorder the terms:
8 + -3 + -18d + -2d = -8(4 + -1d) + 3(1 + 2d)

Combine like terms: 8 + -3 = 5
5 + -18d + -2d = -8(4 + -1d) + 3(1 + 2d)

Combine like terms: -18d + -2d = -20d
5 + -20d = -8(4 + -1d) + 3(1 + 2d)
5 + -20d = (4 * -8 + -1d * -8) + 3(1 + 2d)
5 + -20d = (-32 + 8d) + 3(1 + 2d)
5 + -20d = -32 + 8d + (1 * 3 + 2d * 3)
5 + -20d = -32 + 8d + (3 + 6d)

Reorder the terms:
5 + -20d = -32 + 3 + 8d + 6d

Combine like terms: -32 + 3 = -29
5 + -20d = -29 + 8d + 6d

Combine like terms: 8d + 6d = 14d
5 + -20d = -29 + 14d

Solving
5 + -20d = -29 + 14d

Solving for variable 'd'.

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

Add '-14d' to each side of the equation.
5 + -20d + -14d = -29 + 14d + -14d

Combine like terms: -20d + -14d = -34d
5 + -34d = -29 + 14d + -14d

Combine like terms: 14d + -14d = 0
5 + -34d = -29 + 0
5 + -34d = -29

Add '-5' to each side of the equation.
5 + -5 + -34d = -29 + -5

Combine like terms: 5 + -5 = 0
0 + -34d = -29 + -5
-34d = -29 + -5

Combine like terms: -29 + -5 = -34
-34d = -34

Divide each side by '-34'.
d = 1

Simplifying
d = 1

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