4(-2d+1)+3(d-2)=-7

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Solution for 4(-2d+1)+3(d-2)=-7 equation: 


Simplifying
4(-2d + 1) + 3(d + -2) = -7

Reorder the terms:
4(1 + -2d) + 3(d + -2) = -7
(1 * 4 + -2d * 4) + 3(d + -2) = -7
(4 + -8d) + 3(d + -2) = -7

Reorder the terms:
4 + -8d + 3(-2 + d) = -7
4 + -8d + (-2 * 3 + d * 3) = -7
4 + -8d + (-6 + 3d) = -7

Reorder the terms:
4 + -6 + -8d + 3d = -7

Combine like terms: 4 + -6 = -2
-2 + -8d + 3d = -7

Combine like terms: -8d + 3d = -5d
-2 + -5d = -7

Solving
-2 + -5d = -7

Solving for variable 'd'.

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

Add '2' to each side of the equation.
-2 + 2 + -5d = -7 + 2

Combine like terms: -2 + 2 = 0
0 + -5d = -7 + 2
-5d = -7 + 2

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

Divide each side by '-5'.
d = 1

Simplifying
d = 1

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