5p+6+8p=-10(4p-7)+8(1+7p)

Solution for 5p+6+8p=-10(4p-7)+8(1+7p) equation:

Simplifying
5p + 6 + 8p = -10(4p + -7) + 8(1 + 7p)

Reorder the terms:
6 + 5p + 8p = -10(4p + -7) + 8(1 + 7p)

Combine like terms: 5p + 8p = 13p
6 + 13p = -10(4p + -7) + 8(1 + 7p)

Reorder the terms:
6 + 13p = -10(-7 + 4p) + 8(1 + 7p)
6 + 13p = (-7 * -10 + 4p * -10) + 8(1 + 7p)
6 + 13p = (70 + -40p) + 8(1 + 7p)
6 + 13p = 70 + -40p + (1 * 8 + 7p * 8)
6 + 13p = 70 + -40p + (8 + 56p)

Reorder the terms:
6 + 13p = 70 + 8 + -40p + 56p

Combine like terms: 70 + 8 = 78
6 + 13p = 78 + -40p + 56p

Combine like terms: -40p + 56p = 16p
6 + 13p = 78 + 16p

Solving
6 + 13p = 78 + 16p

Solving for variable 'p'.

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

Add '-16p' to each side of the equation.
6 + 13p + -16p = 78 + 16p + -16p

Combine like terms: 13p + -16p = -3p
6 + -3p = 78 + 16p + -16p

Combine like terms: 16p + -16p = 0
6 + -3p = 78 + 0
6 + -3p = 78

Add '-6' to each side of the equation.
6 + -6 + -3p = 78 + -6

Combine like terms: 6 + -6 = 0
0 + -3p = 78 + -6
-3p = 78 + -6

Combine like terms: 78 + -6 = 72
-3p = 72

Divide each side by '-3'.
p = -24

Simplifying
p = -24