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

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Solution for 3(p+6)-5=-7+7p equation:


Simplifying
3(p + 6) + -5 = -7 + 7p

Reorder the terms:
3(6 + p) + -5 = -7 + 7p
(6 * 3 + p * 3) + -5 = -7 + 7p
(18 + 3p) + -5 = -7 + 7p

Reorder the terms:
18 + -5 + 3p = -7 + 7p

Combine like terms: 18 + -5 = 13
13 + 3p = -7 + 7p

Solving
13 + 3p = -7 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
13 + 3p + -7p = -7 + 7p + -7p

Combine like terms: 3p + -7p = -4p
13 + -4p = -7 + 7p + -7p

Combine like terms: 7p + -7p = 0
13 + -4p = -7 + 0
13 + -4p = -7

Add '-13' to each side of the equation.
13 + -13 + -4p = -7 + -13

Combine like terms: 13 + -13 = 0
0 + -4p = -7 + -13
-4p = -7 + -13

Combine like terms: -7 + -13 = -20
-4p = -20

Divide each side by '-4'.
p = 5

Simplifying
p = 5

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