-5(6p+8)+6(p-7)=

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

Simplifying
-5(6p + 8) + 6(p + -7) = 0

Reorder the terms:
-5(8 + 6p) + 6(p + -7) = 0
(8 * -5 + 6p * -5) + 6(p + -7) = 0
(-40 + -30p) + 6(p + -7) = 0

Reorder the terms:
-40 + -30p + 6(-7 + p) = 0
-40 + -30p + (-7 * 6 + p * 6) = 0
-40 + -30p + (-42 + 6p) = 0

Reorder the terms:
-40 + -42 + -30p + 6p = 0

Combine like terms: -40 + -42 = -82
-82 + -30p + 6p = 0

Combine like terms: -30p + 6p = -24p
-82 + -24p = 0

Solving
-82 + -24p = 0

Solving for variable 'p'.

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

Add '82' to each side of the equation.
-82 + 82 + -24p = 0 + 82

Combine like terms: -82 + 82 = 0
0 + -24p = 0 + 82
-24p = 0 + 82

Combine like terms: 0 + 82 = 82
-24p = 82

Divide each side by '-24'.
p = -3.416666667

Simplifying
p = -3.416666667