2(d-3)+3d=d-(2d-2)4

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Solution for 2(d-3)+3d=d-(2d-2)4 equation:


Simplifying
2(d + -3) + 3d = d + -1(2d + -2) * 4

Reorder the terms:
2(-3 + d) + 3d = d + -1(2d + -2) * 4
(-3 * 2 + d * 2) + 3d = d + -1(2d + -2) * 4
(-6 + 2d) + 3d = d + -1(2d + -2) * 4

Combine like terms: 2d + 3d = 5d
-6 + 5d = d + -1(2d + -2) * 4

Reorder the terms:
-6 + 5d = d + -1(-2 + 2d) * 4

Reorder the terms for easier multiplication:
-6 + 5d = d + -1 * 4(-2 + 2d)

Multiply -1 * 4
-6 + 5d = d + -4(-2 + 2d)
-6 + 5d = d + (-2 * -4 + 2d * -4)
-6 + 5d = d + (8 + -8d)

Reorder the terms:
-6 + 5d = 8 + d + -8d

Combine like terms: d + -8d = -7d
-6 + 5d = 8 + -7d

Solving
-6 + 5d = 8 + -7d

Solving for variable 'd'.

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

Add '7d' to each side of the equation.
-6 + 5d + 7d = 8 + -7d + 7d

Combine like terms: 5d + 7d = 12d
-6 + 12d = 8 + -7d + 7d

Combine like terms: -7d + 7d = 0
-6 + 12d = 8 + 0
-6 + 12d = 8

Add '6' to each side of the equation.
-6 + 6 + 12d = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 12d = 8 + 6
12d = 8 + 6

Combine like terms: 8 + 6 = 14
12d = 14

Divide each side by '12'.
d = 1.166666667

Simplifying
d = 1.166666667

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