5(-6-3d)=3(8+7d)

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Solution for 5(-6-3d)=3(8+7d) equation:


Simplifying
5(-6 + -3d) = 3(8 + 7d)
(-6 * 5 + -3d * 5) = 3(8 + 7d)
(-30 + -15d) = 3(8 + 7d)
-30 + -15d = (8 * 3 + 7d * 3)
-30 + -15d = (24 + 21d)

Solving
-30 + -15d = 24 + 21d

Solving for variable 'd'.

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

Add '-21d' to each side of the equation.
-30 + -15d + -21d = 24 + 21d + -21d

Combine like terms: -15d + -21d = -36d
-30 + -36d = 24 + 21d + -21d

Combine like terms: 21d + -21d = 0
-30 + -36d = 24 + 0
-30 + -36d = 24

Add '30' to each side of the equation.
-30 + 30 + -36d = 24 + 30

Combine like terms: -30 + 30 = 0
0 + -36d = 24 + 30
-36d = 24 + 30

Combine like terms: 24 + 30 = 54
-36d = 54

Divide each side by '-36'.
d = -1.5

Simplifying
d = -1.5

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