5-6(4d+10)+7d=-2d

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Solution for 5-6(4d+10)+7d=-2d equation:


Simplifying
5 + -6(4d + 10) + 7d = -2d

Reorder the terms:
5 + -6(10 + 4d) + 7d = -2d
5 + (10 * -6 + 4d * -6) + 7d = -2d
5 + (-60 + -24d) + 7d = -2d

Combine like terms: 5 + -60 = -55
-55 + -24d + 7d = -2d

Combine like terms: -24d + 7d = -17d
-55 + -17d = -2d

Solving
-55 + -17d = -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.
-55 + -17d + 2d = -2d + 2d

Combine like terms: -17d + 2d = -15d
-55 + -15d = -2d + 2d

Combine like terms: -2d + 2d = 0
-55 + -15d = 0

Add '55' to each side of the equation.
-55 + 55 + -15d = 0 + 55

Combine like terms: -55 + 55 = 0
0 + -15d = 0 + 55
-15d = 0 + 55

Combine like terms: 0 + 55 = 55
-15d = 55

Divide each side by '-15'.
d = -3.666666667

Simplifying
d = -3.666666667

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