2(d+2)+11=-(-5d-9)

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Solution for 2(d+2)+11=-(-5d-9) equation:


Simplifying
2(d + 2) + 11 = -1(-5d + -9)

Reorder the terms:
2(2 + d) + 11 = -1(-5d + -9)
(2 * 2 + d * 2) + 11 = -1(-5d + -9)
(4 + 2d) + 11 = -1(-5d + -9)

Reorder the terms:
4 + 11 + 2d = -1(-5d + -9)

Combine like terms: 4 + 11 = 15
15 + 2d = -1(-5d + -9)

Reorder the terms:
15 + 2d = -1(-9 + -5d)
15 + 2d = (-9 * -1 + -5d * -1)
15 + 2d = (9 + 5d)

Solving
15 + 2d = 9 + 5d

Solving for variable 'd'.

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

Add '-5d' to each side of the equation.
15 + 2d + -5d = 9 + 5d + -5d

Combine like terms: 2d + -5d = -3d
15 + -3d = 9 + 5d + -5d

Combine like terms: 5d + -5d = 0
15 + -3d = 9 + 0
15 + -3d = 9

Add '-15' to each side of the equation.
15 + -15 + -3d = 9 + -15

Combine like terms: 15 + -15 = 0
0 + -3d = 9 + -15
-3d = 9 + -15

Combine like terms: 9 + -15 = -6
-3d = -6

Divide each side by '-3'.
d = 2

Simplifying
d = 2

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