-54+10d=4(3d-8)+10

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Solution for -54+10d=4(3d-8)+10 equation: 


Simplifying
-54 + 10d = 4(3d + -8) + 10

Reorder the terms:
-54 + 10d = 4(-8 + 3d) + 10
-54 + 10d = (-8 * 4 + 3d * 4) + 10
-54 + 10d = (-32 + 12d) + 10

Reorder the terms:
-54 + 10d = -32 + 10 + 12d

Combine like terms: -32 + 10 = -22
-54 + 10d = -22 + 12d

Solving
-54 + 10d = -22 + 12d

Solving for variable 'd'.

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

Add '-12d' to each side of the equation.
-54 + 10d + -12d = -22 + 12d + -12d

Combine like terms: 10d + -12d = -2d
-54 + -2d = -22 + 12d + -12d

Combine like terms: 12d + -12d = 0
-54 + -2d = -22 + 0
-54 + -2d = -22

Add '54' to each side of the equation.
-54 + 54 + -2d = -22 + 54

Combine like terms: -54 + 54 = 0
0 + -2d = -22 + 54
-2d = -22 + 54

Combine like terms: -22 + 54 = 32
-2d = 32

Divide each side by '-2'.
d = -16

Simplifying
d = -16

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