5(3d-1)=2d-2-21

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Solution for 5(3d-1)=2d-2-21 equation:


Simplifying
5(3d + -1) = 2d + -2 + -21

Reorder the terms:
5(-1 + 3d) = 2d + -2 + -21
(-1 * 5 + 3d * 5) = 2d + -2 + -21
(-5 + 15d) = 2d + -2 + -21

Reorder the terms:
-5 + 15d = -2 + -21 + 2d

Combine like terms: -2 + -21 = -23
-5 + 15d = -23 + 2d

Solving
-5 + 15d = -23 + 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.
-5 + 15d + -2d = -23 + 2d + -2d

Combine like terms: 15d + -2d = 13d
-5 + 13d = -23 + 2d + -2d

Combine like terms: 2d + -2d = 0
-5 + 13d = -23 + 0
-5 + 13d = -23

Add '5' to each side of the equation.
-5 + 5 + 13d = -23 + 5

Combine like terms: -5 + 5 = 0
0 + 13d = -23 + 5
13d = -23 + 5

Combine like terms: -23 + 5 = -18
13d = -18

Divide each side by '13'.
d = -1.384615385

Simplifying
d = -1.384615385

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