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

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


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

Reorder the terms:
5(6 + p) + -7(3 + p) = 5
(6 * 5 + p * 5) + -7(3 + p) = 5
(30 + 5p) + -7(3 + p) = 5
30 + 5p + (3 * -7 + p * -7) = 5
30 + 5p + (-21 + -7p) = 5

Reorder the terms:
30 + -21 + 5p + -7p = 5

Combine like terms: 30 + -21 = 9
9 + 5p + -7p = 5

Combine like terms: 5p + -7p = -2p
9 + -2p = 5

Solving
9 + -2p = 5

Solving for variable 'p'.

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

Add '-9' to each side of the equation.
9 + -9 + -2p = 5 + -9

Combine like terms: 9 + -9 = 0
0 + -2p = 5 + -9
-2p = 5 + -9

Combine like terms: 5 + -9 = -4
-2p = -4

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

Simplifying
p = 2

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