-7(p-6)=-3(p-2)

Solution for -7(p-6)=-3(p-2) equation:

Simplifying
-7(p + -6) = -3(p + -2)

Reorder the terms:
-7(-6 + p) = -3(p + -2)
(-6 * -7 + p * -7) = -3(p + -2)
(42 + -7p) = -3(p + -2)

Reorder the terms:
42 + -7p = -3(-2 + p)
42 + -7p = (-2 * -3 + p * -3)
42 + -7p = (6 + -3p)

Solving
42 + -7p = 6 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
42 + -7p + 3p = 6 + -3p + 3p

Combine like terms: -7p + 3p = -4p
42 + -4p = 6 + -3p + 3p

Combine like terms: -3p + 3p = 0
42 + -4p = 6 + 0
42 + -4p = 6

Add '-42' to each side of the equation.
42 + -42 + -4p = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -4p = 6 + -42
-4p = 6 + -42

Combine like terms: 6 + -42 = -36
-4p = -36

Divide each side by '-4'.
p = 9

Simplifying
p = 9