7(p+6)+6(4-p)=3+7p+p-7

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

Simplifying
7(p + 6) + 6(4 + -1p) = 3 + 7p + p + -7

Reorder the terms:
7(6 + p) + 6(4 + -1p) = 3 + 7p + p + -7
(6 * 7 + p * 7) + 6(4 + -1p) = 3 + 7p + p + -7
(42 + 7p) + 6(4 + -1p) = 3 + 7p + p + -7
42 + 7p + (4 * 6 + -1p * 6) = 3 + 7p + p + -7
42 + 7p + (24 + -6p) = 3 + 7p + p + -7

Reorder the terms:
42 + 24 + 7p + -6p = 3 + 7p + p + -7

Combine like terms: 42 + 24 = 66
66 + 7p + -6p = 3 + 7p + p + -7

Combine like terms: 7p + -6p = 1p
66 + 1p = 3 + 7p + p + -7

Reorder the terms:
66 + 1p = 3 + -7 + 7p + p

Combine like terms: 3 + -7 = -4
66 + 1p = -4 + 7p + p

Combine like terms: 7p + p = 8p
66 + 1p = -4 + 8p

Solving
66 + 1p = -4 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
66 + 1p + -8p = -4 + 8p + -8p

Combine like terms: 1p + -8p = -7p
66 + -7p = -4 + 8p + -8p

Combine like terms: 8p + -8p = 0
66 + -7p = -4 + 0
66 + -7p = -4

Add '-66' to each side of the equation.
66 + -66 + -7p = -4 + -66

Combine like terms: 66 + -66 = 0
0 + -7p = -4 + -66
-7p = -4 + -66

Combine like terms: -4 + -66 = -70
-7p = -70

Divide each side by '-7'.
p = 10

Simplifying
p = 10