14-(10d-17)+6d=12(d+2)+5

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Solution for 14-(10d-17)+6d=12(d+2)+5 equation:


Simplifying
14 + -1(10d + -17) + 6d = 12(d + 2) + 5

Reorder the terms:
14 + -1(-17 + 10d) + 6d = 12(d + 2) + 5
14 + (-17 * -1 + 10d * -1) + 6d = 12(d + 2) + 5
14 + (17 + -10d) + 6d = 12(d + 2) + 5

Combine like terms: 14 + 17 = 31
31 + -10d + 6d = 12(d + 2) + 5

Combine like terms: -10d + 6d = -4d
31 + -4d = 12(d + 2) + 5

Reorder the terms:
31 + -4d = 12(2 + d) + 5
31 + -4d = (2 * 12 + d * 12) + 5
31 + -4d = (24 + 12d) + 5

Reorder the terms:
31 + -4d = 24 + 5 + 12d

Combine like terms: 24 + 5 = 29
31 + -4d = 29 + 12d

Solving
31 + -4d = 29 + 12d

Solving for variable 'd'.

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

Add '-12d' to each side of the equation.
31 + -4d + -12d = 29 + 12d + -12d

Combine like terms: -4d + -12d = -16d
31 + -16d = 29 + 12d + -12d

Combine like terms: 12d + -12d = 0
31 + -16d = 29 + 0
31 + -16d = 29

Add '-31' to each side of the equation.
31 + -31 + -16d = 29 + -31

Combine like terms: 31 + -31 = 0
0 + -16d = 29 + -31
-16d = 29 + -31

Combine like terms: 29 + -31 = -2
-16d = -2

Divide each side by '-16'.
d = 0.125

Simplifying
d = 0.125

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