-4(3+3d)-5=6-(2d+7)

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Solution for -4(3+3d)-5=6-(2d+7) equation:


Simplifying
-4(3 + 3d) + -5 = 6 + -1(2d + 7)
(3 * -4 + 3d * -4) + -5 = 6 + -1(2d + 7)
(-12 + -12d) + -5 = 6 + -1(2d + 7)

Reorder the terms:
-12 + -5 + -12d = 6 + -1(2d + 7)

Combine like terms: -12 + -5 = -17
-17 + -12d = 6 + -1(2d + 7)

Reorder the terms:
-17 + -12d = 6 + -1(7 + 2d)
-17 + -12d = 6 + (7 * -1 + 2d * -1)
-17 + -12d = 6 + (-7 + -2d)

Combine like terms: 6 + -7 = -1
-17 + -12d = -1 + -2d

Solving
-17 + -12d = -1 + -2d

Solving for variable 'd'.

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

Add '2d' to each side of the equation.
-17 + -12d + 2d = -1 + -2d + 2d

Combine like terms: -12d + 2d = -10d
-17 + -10d = -1 + -2d + 2d

Combine like terms: -2d + 2d = 0
-17 + -10d = -1 + 0
-17 + -10d = -1

Add '17' to each side of the equation.
-17 + 17 + -10d = -1 + 17

Combine like terms: -17 + 17 = 0
0 + -10d = -1 + 17
-10d = -1 + 17

Combine like terms: -1 + 17 = 16
-10d = 16

Divide each side by '-10'.
d = -1.6

Simplifying
d = -1.6

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