8(2d+5)-3(8d-9)=21

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Solution for 8(2d+5)-3(8d-9)=21 equation: 


Simplifying
8(2d + 5) + -3(8d + -9) = 21

Reorder the terms:
8(5 + 2d) + -3(8d + -9) = 21
(5 * 8 + 2d * 8) + -3(8d + -9) = 21
(40 + 16d) + -3(8d + -9) = 21

Reorder the terms:
40 + 16d + -3(-9 + 8d) = 21
40 + 16d + (-9 * -3 + 8d * -3) = 21
40 + 16d + (27 + -24d) = 21

Reorder the terms:
40 + 27 + 16d + -24d = 21

Combine like terms: 40 + 27 = 67
67 + 16d + -24d = 21

Combine like terms: 16d + -24d = -8d
67 + -8d = 21

Solving
67 + -8d = 21

Solving for variable 'd'.

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

Add '-67' to each side of the equation.
67 + -67 + -8d = 21 + -67

Combine like terms: 67 + -67 = 0
0 + -8d = 21 + -67
-8d = 21 + -67

Combine like terms: 21 + -67 = -46
-8d = -46

Divide each side by '-8'.
d = 5.75

Simplifying
d = 5.75

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