0.6(15d+20)-6(18d-12)=38

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Solution for 0.6(15d+20)-6(18d-12)=38 equation: 


Simplifying
0.6(15d + 20) + -6(18d + -12) = 38

Reorder the terms:
0.6(20 + 15d) + -6(18d + -12) = 38
(20 * 0.6 + 15d * 0.6) + -6(18d + -12) = 38
(12 + 9d) + -6(18d + -12) = 38

Reorder the terms:
12 + 9d + -6(-12 + 18d) = 38
12 + 9d + (-12 * -6 + 18d * -6) = 38
12 + 9d + (72 + -108d) = 38

Reorder the terms:
12 + 72 + 9d + -108d = 38

Combine like terms: 12 + 72 = 84
84 + 9d + -108d = 38

Combine like terms: 9d + -108d = -99d
84 + -99d = 38

Solving
84 + -99d = 38

Solving for variable 'd'.

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

Add '-84' to each side of the equation.
84 + -84 + -99d = 38 + -84

Combine like terms: 84 + -84 = 0
0 + -99d = 38 + -84
-99d = 38 + -84

Combine like terms: 38 + -84 = -46
-99d = -46

Divide each side by '-99'.
d = 0.4646464646

Simplifying
d = 0.4646464646

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