15(d+7)=3(d+71)

Solution for 15(d+7)=3(d+71) equation:

Simplifying
15(d + 7) = 3(d + 71)

Reorder the terms:
15(7 + d) = 3(d + 71)
(7 * 15 + d * 15) = 3(d + 71)
(105 + 15d) = 3(d + 71)

Reorder the terms:
105 + 15d = 3(71 + d)
105 + 15d = (71 * 3 + d * 3)
105 + 15d = (213 + 3d)

Solving
105 + 15d = 213 + 3d

Solving for variable 'd'.

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

Add '-3d' to each side of the equation.
105 + 15d + -3d = 213 + 3d + -3d

Combine like terms: 15d + -3d = 12d
105 + 12d = 213 + 3d + -3d

Combine like terms: 3d + -3d = 0
105 + 12d = 213 + 0
105 + 12d = 213

Add '-105' to each side of the equation.
105 + -105 + 12d = 213 + -105

Combine like terms: 105 + -105 = 0
0 + 12d = 213 + -105
12d = 213 + -105

Combine like terms: 213 + -105 = 108
12d = 108

Divide each side by '12'.
d = 9

Simplifying
d = 9