-7(5+7p)-3(p+9)=12p-2p

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Solution for -7(5+7p)-3(p+9)=12p-2p equation:


Simplifying
-7(5 + 7p) + -3(p + 9) = 12p + -2p
(5 * -7 + 7p * -7) + -3(p + 9) = 12p + -2p
(-35 + -49p) + -3(p + 9) = 12p + -2p

Reorder the terms:
-35 + -49p + -3(9 + p) = 12p + -2p
-35 + -49p + (9 * -3 + p * -3) = 12p + -2p
-35 + -49p + (-27 + -3p) = 12p + -2p

Reorder the terms:
-35 + -27 + -49p + -3p = 12p + -2p

Combine like terms: -35 + -27 = -62
-62 + -49p + -3p = 12p + -2p

Combine like terms: -49p + -3p = -52p
-62 + -52p = 12p + -2p

Combine like terms: 12p + -2p = 10p
-62 + -52p = 10p

Solving
-62 + -52p = 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-62 + -52p + -10p = 10p + -10p

Combine like terms: -52p + -10p = -62p
-62 + -62p = 10p + -10p

Combine like terms: 10p + -10p = 0
-62 + -62p = 0

Add '62' to each side of the equation.
-62 + 62 + -62p = 0 + 62

Combine like terms: -62 + 62 = 0
0 + -62p = 0 + 62
-62p = 0 + 62

Combine like terms: 0 + 62 = 62
-62p = 62

Divide each side by '-62'.
p = -1

Simplifying
p = -1

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