-8(3+2d)+10(d+7)=58

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Solution for -8(3+2d)+10(d+7)=58 equation:


Simplifying
-8(3 + 2d) + 10(d + 7) = 58
(3 * -8 + 2d * -8) + 10(d + 7) = 58
(-24 + -16d) + 10(d + 7) = 58

Reorder the terms:
-24 + -16d + 10(7 + d) = 58
-24 + -16d + (7 * 10 + d * 10) = 58
-24 + -16d + (70 + 10d) = 58

Reorder the terms:
-24 + 70 + -16d + 10d = 58

Combine like terms: -24 + 70 = 46
46 + -16d + 10d = 58

Combine like terms: -16d + 10d = -6d
46 + -6d = 58

Solving
46 + -6d = 58

Solving for variable 'd'.

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

Add '-46' to each side of the equation.
46 + -46 + -6d = 58 + -46

Combine like terms: 46 + -46 = 0
0 + -6d = 58 + -46
-6d = 58 + -46

Combine like terms: 58 + -46 = 12
-6d = 12

Divide each side by '-6'.
d = -2

Simplifying
d = -2

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