0.6(15d+20)-0.16(18d-12)=38

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Solution for 0.6(15d+20)-0.16(18d-12)=38 equation: 


Simplifying
0.6(15d + 20) + -0.16(18d + -12) = 38

Reorder the terms:
0.6(20 + 15d) + -0.16(18d + -12) = 38
(20 * 0.6 + 15d * 0.6) + -0.16(18d + -12) = 38
(12 + 9d) + -0.16(18d + -12) = 38

Reorder the terms:
12 + 9d + -0.16(-12 + 18d) = 38
12 + 9d + (-12 * -0.16 + 18d * -0.16) = 38
12 + 9d + (1.92 + -2.88d) = 38

Reorder the terms:
12 + 1.92 + 9d + -2.88d = 38

Combine like terms: 12 + 1.92 = 13.92
13.92 + 9d + -2.88d = 38

Combine like terms: 9d + -2.88d = 6.12d
13.92 + 6.12d = 38

Solving
13.92 + 6.12d = 38

Solving for variable 'd'.

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

Add '-13.92' to each side of the equation.
13.92 + -13.92 + 6.12d = 38 + -13.92

Combine like terms: 13.92 + -13.92 = 0.00
0.00 + 6.12d = 38 + -13.92
6.12d = 38 + -13.92

Combine like terms: 38 + -13.92 = 24.08
6.12d = 24.08

Divide each side by '6.12'.
d = 3.934640523

Simplifying
d = 3.934640523

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