-5+9(-15d+1)=2(7d-16)-d

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Solution for -5+9(-15d+1)=2(7d-16)-d equation:


Simplifying
-5 + 9(-15d + 1) = 2(7d + -16) + -1d

Reorder the terms:
-5 + 9(1 + -15d) = 2(7d + -16) + -1d
-5 + (1 * 9 + -15d * 9) = 2(7d + -16) + -1d
-5 + (9 + -135d) = 2(7d + -16) + -1d

Combine like terms: -5 + 9 = 4
4 + -135d = 2(7d + -16) + -1d

Reorder the terms:
4 + -135d = 2(-16 + 7d) + -1d
4 + -135d = (-16 * 2 + 7d * 2) + -1d
4 + -135d = (-32 + 14d) + -1d

Combine like terms: 14d + -1d = 13d
4 + -135d = -32 + 13d

Solving
4 + -135d = -32 + 13d

Solving for variable 'd'.

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

Add '-13d' to each side of the equation.
4 + -135d + -13d = -32 + 13d + -13d

Combine like terms: -135d + -13d = -148d
4 + -148d = -32 + 13d + -13d

Combine like terms: 13d + -13d = 0
4 + -148d = -32 + 0
4 + -148d = -32

Add '-4' to each side of the equation.
4 + -4 + -148d = -32 + -4

Combine like terms: 4 + -4 = 0
0 + -148d = -32 + -4
-148d = -32 + -4

Combine like terms: -32 + -4 = -36
-148d = -36

Divide each side by '-148'.
d = 0.2432432432

Simplifying
d = 0.2432432432

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