1.5(d+12)=0.5(2d-6)

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Solution for 1.5(d+12)=0.5(2d-6) equation:


Simplifying
1.5(d + 12) = 0.5(2d + -6)

Reorder the terms:
1.5(12 + d) = 0.5(2d + -6)
(12 * 1.5 + d * 1.5) = 0.5(2d + -6)
(18 + 1.5d) = 0.5(2d + -6)

Reorder the terms:
18 + 1.5d = 0.5(-6 + 2d)
18 + 1.5d = (-6 * 0.5 + 2d * 0.5)
18 + 1.5d = (-3 + 1d)

Solving
18 + 1.5d = -3 + 1d

Solving for variable 'd'.

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

Add '-1d' to each side of the equation.
18 + 1.5d + -1d = -3 + 1d + -1d

Combine like terms: 1.5d + -1d = 0.5d
18 + 0.5d = -3 + 1d + -1d

Combine like terms: 1d + -1d = 0
18 + 0.5d = -3 + 0
18 + 0.5d = -3

Add '-18' to each side of the equation.
18 + -18 + 0.5d = -3 + -18

Combine like terms: 18 + -18 = 0
0 + 0.5d = -3 + -18
0.5d = -3 + -18

Combine like terms: -3 + -18 = -21
0.5d = -21

Divide each side by '0.5'.
d = -42

Simplifying
d = -42

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