-5d+3(d+5)=-3+4(d+12)

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Solution for -5d+3(d+5)=-3+4(d+12) equation: 


Simplifying
-5d + 3(d + 5) = -3 + 4(d + 12)

Reorder the terms:
-5d + 3(5 + d) = -3 + 4(d + 12)
-5d + (5 * 3 + d * 3) = -3 + 4(d + 12)
-5d + (15 + 3d) = -3 + 4(d + 12)

Reorder the terms:
15 + -5d + 3d = -3 + 4(d + 12)

Combine like terms: -5d + 3d = -2d
15 + -2d = -3 + 4(d + 12)

Reorder the terms:
15 + -2d = -3 + 4(12 + d)
15 + -2d = -3 + (12 * 4 + d * 4)
15 + -2d = -3 + (48 + 4d)

Combine like terms: -3 + 48 = 45
15 + -2d = 45 + 4d

Solving
15 + -2d = 45 + 4d

Solving for variable 'd'.

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

Add '-4d' to each side of the equation.
15 + -2d + -4d = 45 + 4d + -4d

Combine like terms: -2d + -4d = -6d
15 + -6d = 45 + 4d + -4d

Combine like terms: 4d + -4d = 0
15 + -6d = 45 + 0
15 + -6d = 45

Add '-15' to each side of the equation.
15 + -15 + -6d = 45 + -15

Combine like terms: 15 + -15 = 0
0 + -6d = 45 + -15
-6d = 45 + -15

Combine like terms: 45 + -15 = 30
-6d = 30

Divide each side by '-6'.
d = -5

Simplifying
d = -5

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