-3d-5+4d-7(2d-3)=-13

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Solution for -3d-5+4d-7(2d-3)=-13 equation:


Simplifying
-3d + -5 + 4d + -7(2d + -3) = -13

Reorder the terms:
-3d + -5 + 4d + -7(-3 + 2d) = -13
-3d + -5 + 4d + (-3 * -7 + 2d * -7) = -13
-3d + -5 + 4d + (21 + -14d) = -13

Reorder the terms:
-5 + 21 + -3d + 4d + -14d = -13

Combine like terms: -5 + 21 = 16
16 + -3d + 4d + -14d = -13

Combine like terms: -3d + 4d = 1d
16 + 1d + -14d = -13

Combine like terms: 1d + -14d = -13d
16 + -13d = -13

Solving
16 + -13d = -13

Solving for variable 'd'.

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

Add '-16' to each side of the equation.
16 + -16 + -13d = -13 + -16

Combine like terms: 16 + -16 = 0
0 + -13d = -13 + -16
-13d = -13 + -16

Combine like terms: -13 + -16 = -29
-13d = -29

Divide each side by '-13'.
d = 2.230769231

Simplifying
d = 2.230769231

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