8p+11=5p-7(1-3p)

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Solution for 8p+11=5p-7(1-3p) equation: 


Simplifying
8p + 11 = 5p + -7(1 + -3p)

Reorder the terms:
11 + 8p = 5p + -7(1 + -3p)
11 + 8p = 5p + (1 * -7 + -3p * -7)
11 + 8p = 5p + (-7 + 21p)

Reorder the terms:
11 + 8p = -7 + 5p + 21p

Combine like terms: 5p + 21p = 26p
11 + 8p = -7 + 26p

Solving
11 + 8p = -7 + 26p

Solving for variable 'p'.

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

Add '-26p' to each side of the equation.
11 + 8p + -26p = -7 + 26p + -26p

Combine like terms: 8p + -26p = -18p
11 + -18p = -7 + 26p + -26p

Combine like terms: 26p + -26p = 0
11 + -18p = -7 + 0
11 + -18p = -7

Add '-11' to each side of the equation.
11 + -11 + -18p = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -18p = -7 + -11
-18p = -7 + -11

Combine like terms: -7 + -11 = -18
-18p = -18

Divide each side by '-18'.
p = 1

Simplifying
p = 1

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