9d+5(8+d)-6(2d-7)=40

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Solution for 9d+5(8+d)-6(2d-7)=40 equation:


Simplifying
9d + 5(8 + d) + -6(2d + -7) = 40
9d + (8 * 5 + d * 5) + -6(2d + -7) = 40
9d + (40 + 5d) + -6(2d + -7) = 40

Reorder the terms:
9d + 40 + 5d + -6(-7 + 2d) = 40
9d + 40 + 5d + (-7 * -6 + 2d * -6) = 40
9d + 40 + 5d + (42 + -12d) = 40

Reorder the terms:
40 + 42 + 9d + 5d + -12d = 40

Combine like terms: 40 + 42 = 82
82 + 9d + 5d + -12d = 40

Combine like terms: 9d + 5d = 14d
82 + 14d + -12d = 40

Combine like terms: 14d + -12d = 2d
82 + 2d = 40

Solving
82 + 2d = 40

Solving for variable 'd'.

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

Add '-82' to each side of the equation.
82 + -82 + 2d = 40 + -82

Combine like terms: 82 + -82 = 0
0 + 2d = 40 + -82
2d = 40 + -82

Combine like terms: 40 + -82 = -42
2d = -42

Divide each side by '2'.
d = -21

Simplifying
d = -21

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