8+5(d-1)-6(d-3)=3(4-d)

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Solution for 8+5(d-1)-6(d-3)=3(4-d) equation:


Simplifying
8 + 5(d + -1) + -6(d + -3) = 3(4 + -1d)

Reorder the terms:
8 + 5(-1 + d) + -6(d + -3) = 3(4 + -1d)
8 + (-1 * 5 + d * 5) + -6(d + -3) = 3(4 + -1d)
8 + (-5 + 5d) + -6(d + -3) = 3(4 + -1d)

Reorder the terms:
8 + -5 + 5d + -6(-3 + d) = 3(4 + -1d)
8 + -5 + 5d + (-3 * -6 + d * -6) = 3(4 + -1d)
8 + -5 + 5d + (18 + -6d) = 3(4 + -1d)

Reorder the terms:
8 + -5 + 18 + 5d + -6d = 3(4 + -1d)

Combine like terms: 8 + -5 = 3
3 + 18 + 5d + -6d = 3(4 + -1d)

Combine like terms: 3 + 18 = 21
21 + 5d + -6d = 3(4 + -1d)

Combine like terms: 5d + -6d = -1d
21 + -1d = 3(4 + -1d)
21 + -1d = (4 * 3 + -1d * 3)
21 + -1d = (12 + -3d)

Solving
21 + -1d = 12 + -3d

Solving for variable 'd'.

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

Add '3d' to each side of the equation.
21 + -1d + 3d = 12 + -3d + 3d

Combine like terms: -1d + 3d = 2d
21 + 2d = 12 + -3d + 3d

Combine like terms: -3d + 3d = 0
21 + 2d = 12 + 0
21 + 2d = 12

Add '-21' to each side of the equation.
21 + -21 + 2d = 12 + -21

Combine like terms: 21 + -21 = 0
0 + 2d = 12 + -21
2d = 12 + -21

Combine like terms: 12 + -21 = -9
2d = -9

Divide each side by '2'.
d = -4.5

Simplifying
d = -4.5

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