7+3d-5=-1+2d-12-d

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Solution for 7+3d-5=-1+2d-12-d equation:


Simplifying
7 + 3d + -5 = -1 + 2d + -12 + -1d

Reorder the terms:
7 + -5 + 3d = -1 + 2d + -12 + -1d

Combine like terms: 7 + -5 = 2
2 + 3d = -1 + 2d + -12 + -1d

Reorder the terms:
2 + 3d = -1 + -12 + 2d + -1d

Combine like terms: -1 + -12 = -13
2 + 3d = -13 + 2d + -1d

Combine like terms: 2d + -1d = 1d
2 + 3d = -13 + 1d

Solving
2 + 3d = -13 + 1d

Solving for variable 'd'.

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

Add '-1d' to each side of the equation.
2 + 3d + -1d = -13 + 1d + -1d

Combine like terms: 3d + -1d = 2d
2 + 2d = -13 + 1d + -1d

Combine like terms: 1d + -1d = 0
2 + 2d = -13 + 0
2 + 2d = -13

Add '-2' to each side of the equation.
2 + -2 + 2d = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 2d = -13 + -2
2d = -13 + -2

Combine like terms: -13 + -2 = -15
2d = -15

Divide each side by '2'.
d = -7.5

Simplifying
d = -7.5

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