8(t+2)p-3(t-4)=6(t-7)+8

Solution for 8(t+2)p-3(t-4)=6(t-7)+8 equation:

Simplifying
8(t + 2) * p + -3(t + -4) = 6(t + -7) + 8

Reorder the terms:
8(2 + t) * p + -3(t + -4) = 6(t + -7) + 8

Reorder the terms for easier multiplication:
8p(2 + t) + -3(t + -4) = 6(t + -7) + 8
(2 * 8p + t * 8p) + -3(t + -4) = 6(t + -7) + 8
(16p + 8pt) + -3(t + -4) = 6(t + -7) + 8

Reorder the terms:
16p + 8pt + -3(-4 + t) = 6(t + -7) + 8
16p + 8pt + (-4 * -3 + t * -3) = 6(t + -7) + 8
16p + 8pt + (12 + -3t) = 6(t + -7) + 8

Reorder the terms:
12 + 16p + 8pt + -3t = 6(t + -7) + 8

Reorder the terms:
12 + 16p + 8pt + -3t = 6(-7 + t) + 8
12 + 16p + 8pt + -3t = (-7 * 6 + t * 6) + 8
12 + 16p + 8pt + -3t = (-42 + 6t) + 8

Reorder the terms:
12 + 16p + 8pt + -3t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
12 + 16p + 8pt + -3t = -34 + 6t

Solving
12 + 16p + 8pt + -3t = -34 + 6t

Solving for variable 'p'.

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

Add '-12' to each side of the equation.
12 + 16p + 8pt + -12 + -3t = -34 + -12 + 6t

Reorder the terms:
12 + -12 + 16p + 8pt + -3t = -34 + -12 + 6t

Combine like terms: 12 + -12 = 0
0 + 16p + 8pt + -3t = -34 + -12 + 6t
16p + 8pt + -3t = -34 + -12 + 6t

Combine like terms: -34 + -12 = -46
16p + 8pt + -3t = -46 + 6t

Add '3t' to each side of the equation.
16p + 8pt + -3t + 3t = -46 + 6t + 3t

Combine like terms: -3t + 3t = 0
16p + 8pt + 0 = -46 + 6t + 3t
16p + 8pt = -46 + 6t + 3t

Combine like terms: 6t + 3t = 9t
16p + 8pt = -46 + 9t

Reorder the terms:
46 + 16p + 8pt + -9t = -46 + 9t + 46 + -9t

Reorder the terms:
46 + 16p + 8pt + -9t = -46 + 46 + 9t + -9t

Combine like terms: -46 + 46 = 0
46 + 16p + 8pt + -9t = 0 + 9t + -9t
46 + 16p + 8pt + -9t = 9t + -9t

Combine like terms: 9t + -9t = 0
46 + 16p + 8pt + -9t = 0

The solution to this equation could not be determined.