4(2d-1)-3(d+2)=-15

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Solution for 4(2d-1)-3(d+2)=-15 equation: 


Simplifying
4(2d + -1) + -3(d + 2) = -15

Reorder the terms:
4(-1 + 2d) + -3(d + 2) = -15
(-1 * 4 + 2d * 4) + -3(d + 2) = -15
(-4 + 8d) + -3(d + 2) = -15

Reorder the terms:
-4 + 8d + -3(2 + d) = -15
-4 + 8d + (2 * -3 + d * -3) = -15
-4 + 8d + (-6 + -3d) = -15

Reorder the terms:
-4 + -6 + 8d + -3d = -15

Combine like terms: -4 + -6 = -10
-10 + 8d + -3d = -15

Combine like terms: 8d + -3d = 5d
-10 + 5d = -15

Solving
-10 + 5d = -15

Solving for variable 'd'.

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

Add '10' to each side of the equation.
-10 + 10 + 5d = -15 + 10

Combine like terms: -10 + 10 = 0
0 + 5d = -15 + 10
5d = -15 + 10

Combine like terms: -15 + 10 = -5
5d = -5

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

Simplifying
d = -1

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