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Simplifying 4p + 8 = (p + -4) + 8(9 + p) Reorder the terms: 8 + 4p = (p + -4) + 8(9 + p) Reorder the terms: 8 + 4p = (-4 + p) + 8(9 + p) Remove parenthesis around (-4 + p) 8 + 4p = -4 + p + 8(9 + p) 8 + 4p = -4 + p + (9 * 8 + p * 8) 8 + 4p = -4 + p + (72 + 8p) Reorder the terms: 8 + 4p = -4 + 72 + p + 8p Combine like terms: -4 + 72 = 68 8 + 4p = 68 + p + 8p Combine like terms: p + 8p = 9p 8 + 4p = 68 + 9p Solving 8 + 4p = 68 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 8 + 4p + -9p = 68 + 9p + -9p Combine like terms: 4p + -9p = -5p 8 + -5p = 68 + 9p + -9p Combine like terms: 9p + -9p = 0 8 + -5p = 68 + 0 8 + -5p = 68 Add '-8' to each side of the equation. 8 + -8 + -5p = 68 + -8 Combine like terms: 8 + -8 = 0 0 + -5p = 68 + -8 -5p = 68 + -8 Combine like terms: 68 + -8 = 60 -5p = 60 Divide each side by '-5'. p = -12 Simplifying p = -12
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