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Simplifying (p + 10(9)) = (8(p + -7)) Multiply 10 * 9 (p + 90) = (8(p + -7)) Reorder the terms: (90 + p) = (8(p + -7)) Remove parenthesis around (90 + p) 90 + p = (8(p + -7)) Reorder the terms: 90 + p = (8(-7 + p)) 90 + p = ((-7 * 8 + p * 8)) 90 + p = ((-56 + 8p)) 90 + p = (-56 + 8p) Remove parenthesis around (-56 + 8p) 90 + p = -56 + 8p Solving 90 + p = -56 + 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. 90 + p + -8p = -56 + 8p + -8p Combine like terms: p + -8p = -7p 90 + -7p = -56 + 8p + -8p Combine like terms: 8p + -8p = 0 90 + -7p = -56 + 0 90 + -7p = -56 Add '-90' to each side of the equation. 90 + -90 + -7p = -56 + -90 Combine like terms: 90 + -90 = 0 0 + -7p = -56 + -90 -7p = -56 + -90 Combine like terms: -56 + -90 = -146 -7p = -146 Divide each side by '-7'. p = 20.85714286 Simplifying p = 20.85714286
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