3(p+11)+4(p+9)=-7p+11p

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Solution for 3(p+11)+4(p+9)=-7p+11p equation:


Simplifying
3(p + 11) + 4(p + 9) = -7p + 11p

Reorder the terms:
3(11 + p) + 4(p + 9) = -7p + 11p
(11 * 3 + p * 3) + 4(p + 9) = -7p + 11p
(33 + 3p) + 4(p + 9) = -7p + 11p

Reorder the terms:
33 + 3p + 4(9 + p) = -7p + 11p
33 + 3p + (9 * 4 + p * 4) = -7p + 11p
33 + 3p + (36 + 4p) = -7p + 11p

Reorder the terms:
33 + 36 + 3p + 4p = -7p + 11p

Combine like terms: 33 + 36 = 69
69 + 3p + 4p = -7p + 11p

Combine like terms: 3p + 4p = 7p
69 + 7p = -7p + 11p

Combine like terms: -7p + 11p = 4p
69 + 7p = 4p

Solving
69 + 7p = 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
69 + 7p + -4p = 4p + -4p

Combine like terms: 7p + -4p = 3p
69 + 3p = 4p + -4p

Combine like terms: 4p + -4p = 0
69 + 3p = 0

Add '-69' to each side of the equation.
69 + -69 + 3p = 0 + -69

Combine like terms: 69 + -69 = 0
0 + 3p = 0 + -69
3p = 0 + -69

Combine like terms: 0 + -69 = -69
3p = -69

Divide each side by '3'.
p = -23

Simplifying
p = -23

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