6+3(8-7p)=-22-8p

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Solution for 6+3(8-7p)=-22-8p equation:


Simplifying
6 + 3(8 + -7p) = -22 + -8p
6 + (8 * 3 + -7p * 3) = -22 + -8p
6 + (24 + -21p) = -22 + -8p

Combine like terms: 6 + 24 = 30
30 + -21p = -22 + -8p

Solving
30 + -21p = -22 + -8p

Solving for variable 'p'.

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

Add '8p' to each side of the equation.
30 + -21p + 8p = -22 + -8p + 8p

Combine like terms: -21p + 8p = -13p
30 + -13p = -22 + -8p + 8p

Combine like terms: -8p + 8p = 0
30 + -13p = -22 + 0
30 + -13p = -22

Add '-30' to each side of the equation.
30 + -30 + -13p = -22 + -30

Combine like terms: 30 + -30 = 0
0 + -13p = -22 + -30
-13p = -22 + -30

Combine like terms: -22 + -30 = -52
-13p = -52

Divide each side by '-13'.
p = 4

Simplifying
p = 4

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