5+(-15d+1)=2(7d-16)-d

Solution for 5+(-15d+1)=2(7d-16)-d equation:

Simplifying
5 + (-15d + 1) = 2(7d + -16) + -1d

Reorder the terms:
5 + (1 + -15d) = 2(7d + -16) + -1d

Remove parenthesis around (1 + -15d)
5 + 1 + -15d = 2(7d + -16) + -1d

Combine like terms: 5 + 1 = 6
6 + -15d = 2(7d + -16) + -1d

Reorder the terms:
6 + -15d = 2(-16 + 7d) + -1d
6 + -15d = (-16 * 2 + 7d * 2) + -1d
6 + -15d = (-32 + 14d) + -1d

Combine like terms: 14d + -1d = 13d
6 + -15d = -32 + 13d

Solving
6 + -15d = -32 + 13d

Solving for variable 'd'.

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

Add '-13d' to each side of the equation.
6 + -15d + -13d = -32 + 13d + -13d

Combine like terms: -15d + -13d = -28d
6 + -28d = -32 + 13d + -13d

Combine like terms: 13d + -13d = 0
6 + -28d = -32 + 0
6 + -28d = -32

Add '-6' to each side of the equation.
6 + -6 + -28d = -32 + -6

Combine like terms: 6 + -6 = 0
0 + -28d = -32 + -6
-28d = -32 + -6

Combine like terms: -32 + -6 = -38
-28d = -38

Divide each side by '-28'.
d = 1.357142857

Simplifying
d = 1.357142857