6(d+6)=4(d-6)+2

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Solution for 6(d+6)=4(d-6)+2 equation: 


Simplifying
6(d + 6) = 4(d + -6) + 2

Reorder the terms:
6(6 + d) = 4(d + -6) + 2
(6 * 6 + d * 6) = 4(d + -6) + 2
(36 + 6d) = 4(d + -6) + 2

Reorder the terms:
36 + 6d = 4(-6 + d) + 2
36 + 6d = (-6 * 4 + d * 4) + 2
36 + 6d = (-24 + 4d) + 2

Reorder the terms:
36 + 6d = -24 + 2 + 4d

Combine like terms: -24 + 2 = -22
36 + 6d = -22 + 4d

Solving
36 + 6d = -22 + 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.
36 + 6d + -4d = -22 + 4d + -4d

Combine like terms: 6d + -4d = 2d
36 + 2d = -22 + 4d + -4d

Combine like terms: 4d + -4d = 0
36 + 2d = -22 + 0
36 + 2d = -22

Add '-36' to each side of the equation.
36 + -36 + 2d = -22 + -36

Combine like terms: 36 + -36 = 0
0 + 2d = -22 + -36
2d = -22 + -36

Combine like terms: -22 + -36 = -58
2d = -58

Divide each side by '2'.
d = -29

Simplifying
d = -29

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