8(5+d)-3(2d-5)=77

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Solution for 8(5+d)-3(2d-5)=77 equation: 


Simplifying
8(5 + d) + -3(2d + -5) = 77
(5 * 8 + d * 8) + -3(2d + -5) = 77
(40 + 8d) + -3(2d + -5) = 77

Reorder the terms:
40 + 8d + -3(-5 + 2d) = 77
40 + 8d + (-5 * -3 + 2d * -3) = 77
40 + 8d + (15 + -6d) = 77

Reorder the terms:
40 + 15 + 8d + -6d = 77

Combine like terms: 40 + 15 = 55
55 + 8d + -6d = 77

Combine like terms: 8d + -6d = 2d
55 + 2d = 77

Solving
55 + 2d = 77

Solving for variable 'd'.

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

Add '-55' to each side of the equation.
55 + -55 + 2d = 77 + -55

Combine like terms: 55 + -55 = 0
0 + 2d = 77 + -55
2d = 77 + -55

Combine like terms: 77 + -55 = 22
2d = 22

Divide each side by '2'.
d = 11

Simplifying
d = 11

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