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Simplifying 91 + -5(p + 20) = 48 + -8(p + 3) Reorder the terms: 91 + -5(20 + p) = 48 + -8(p + 3) 91 + (20 * -5 + p * -5) = 48 + -8(p + 3) 91 + (-100 + -5p) = 48 + -8(p + 3) Combine like terms: 91 + -100 = -9 -9 + -5p = 48 + -8(p + 3) Reorder the terms: -9 + -5p = 48 + -8(3 + p) -9 + -5p = 48 + (3 * -8 + p * -8) -9 + -5p = 48 + (-24 + -8p) Combine like terms: 48 + -24 = 24 -9 + -5p = 24 + -8p Solving -9 + -5p = 24 + -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. -9 + -5p + 8p = 24 + -8p + 8p Combine like terms: -5p + 8p = 3p -9 + 3p = 24 + -8p + 8p Combine like terms: -8p + 8p = 0 -9 + 3p = 24 + 0 -9 + 3p = 24 Add '9' to each side of the equation. -9 + 9 + 3p = 24 + 9 Combine like terms: -9 + 9 = 0 0 + 3p = 24 + 9 3p = 24 + 9 Combine like terms: 24 + 9 = 33 3p = 33 Divide each side by '3'. p = 11 Simplifying p = 11
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