-18+5(8+3d)=7(3d-8)

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Solution for -18+5(8+3d)=7(3d-8) equation:


Simplifying
-18 + 5(8 + 3d) = 7(3d + -8)
-18 + (8 * 5 + 3d * 5) = 7(3d + -8)
-18 + (40 + 15d) = 7(3d + -8)

Combine like terms: -18 + 40 = 22
22 + 15d = 7(3d + -8)

Reorder the terms:
22 + 15d = 7(-8 + 3d)
22 + 15d = (-8 * 7 + 3d * 7)
22 + 15d = (-56 + 21d)

Solving
22 + 15d = -56 + 21d

Solving for variable 'd'.

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

Add '-21d' to each side of the equation.
22 + 15d + -21d = -56 + 21d + -21d

Combine like terms: 15d + -21d = -6d
22 + -6d = -56 + 21d + -21d

Combine like terms: 21d + -21d = 0
22 + -6d = -56 + 0
22 + -6d = -56

Add '-22' to each side of the equation.
22 + -22 + -6d = -56 + -22

Combine like terms: 22 + -22 = 0
0 + -6d = -56 + -22
-6d = -56 + -22

Combine like terms: -56 + -22 = -78
-6d = -78

Divide each side by '-6'.
d = 13

Simplifying
d = 13

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