2(d+7)-(3d+5)=2d+(4d-9+3d)-(d-3)

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Solution for 2(d+7)-(3d+5)=2d+(4d-9+3d)-(d-3) equation:


Simplifying
2(d + 7) + -1(3d + 5) = 2d + (4d + -9 + 3d) + -1(d + -3)

Reorder the terms:
2(7 + d) + -1(3d + 5) = 2d + (4d + -9 + 3d) + -1(d + -3)
(7 * 2 + d * 2) + -1(3d + 5) = 2d + (4d + -9 + 3d) + -1(d + -3)
(14 + 2d) + -1(3d + 5) = 2d + (4d + -9 + 3d) + -1(d + -3)

Reorder the terms:
14 + 2d + -1(5 + 3d) = 2d + (4d + -9 + 3d) + -1(d + -3)
14 + 2d + (5 * -1 + 3d * -1) = 2d + (4d + -9 + 3d) + -1(d + -3)
14 + 2d + (-5 + -3d) = 2d + (4d + -9 + 3d) + -1(d + -3)

Reorder the terms:
14 + -5 + 2d + -3d = 2d + (4d + -9 + 3d) + -1(d + -3)

Combine like terms: 14 + -5 = 9
9 + 2d + -3d = 2d + (4d + -9 + 3d) + -1(d + -3)

Combine like terms: 2d + -3d = -1d
9 + -1d = 2d + (4d + -9 + 3d) + -1(d + -3)

Reorder the terms:
9 + -1d = 2d + (-9 + 4d + 3d) + -1(d + -3)

Combine like terms: 4d + 3d = 7d
9 + -1d = 2d + (-9 + 7d) + -1(d + -3)

Remove parenthesis around (-9 + 7d)
9 + -1d = 2d + -9 + 7d + -1(d + -3)

Reorder the terms:
9 + -1d = 2d + -9 + 7d + -1(-3 + d)
9 + -1d = 2d + -9 + 7d + (-3 * -1 + d * -1)
9 + -1d = 2d + -9 + 7d + (3 + -1d)

Reorder the terms:
9 + -1d = -9 + 3 + 2d + 7d + -1d

Combine like terms: -9 + 3 = -6
9 + -1d = -6 + 2d + 7d + -1d

Combine like terms: 2d + 7d = 9d
9 + -1d = -6 + 9d + -1d

Combine like terms: 9d + -1d = 8d
9 + -1d = -6 + 8d

Solving
9 + -1d = -6 + 8d

Solving for variable 'd'.

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

Add '-8d' to each side of the equation.
9 + -1d + -8d = -6 + 8d + -8d

Combine like terms: -1d + -8d = -9d
9 + -9d = -6 + 8d + -8d

Combine like terms: 8d + -8d = 0
9 + -9d = -6 + 0
9 + -9d = -6

Add '-9' to each side of the equation.
9 + -9 + -9d = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -9d = -6 + -9
-9d = -6 + -9

Combine like terms: -6 + -9 = -15
-9d = -15

Divide each side by '-9'.
d = 1.666666667

Simplifying
d = 1.666666667

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