7(p+3)+9=5(p-2)-3

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Solution for 7(p+3)+9=5(p-2)-3 equation:


Simplifying
7(p + 3) + 9 = 5(p + -2) + -3

Reorder the terms:
7(3 + p) + 9 = 5(p + -2) + -3
(3 * 7 + p * 7) + 9 = 5(p + -2) + -3
(21 + 7p) + 9 = 5(p + -2) + -3

Reorder the terms:
21 + 9 + 7p = 5(p + -2) + -3

Combine like terms: 21 + 9 = 30
30 + 7p = 5(p + -2) + -3

Reorder the terms:
30 + 7p = 5(-2 + p) + -3
30 + 7p = (-2 * 5 + p * 5) + -3
30 + 7p = (-10 + 5p) + -3

Reorder the terms:
30 + 7p = -10 + -3 + 5p

Combine like terms: -10 + -3 = -13
30 + 7p = -13 + 5p

Solving
30 + 7p = -13 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
30 + 7p + -5p = -13 + 5p + -5p

Combine like terms: 7p + -5p = 2p
30 + 2p = -13 + 5p + -5p

Combine like terms: 5p + -5p = 0
30 + 2p = -13 + 0
30 + 2p = -13

Add '-30' to each side of the equation.
30 + -30 + 2p = -13 + -30

Combine like terms: 30 + -30 = 0
0 + 2p = -13 + -30
2p = -13 + -30

Combine like terms: -13 + -30 = -43
2p = -43

Divide each side by '2'.
p = -21.5

Simplifying
p = -21.5

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