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Simplifying -8 + -1(5 + 7p) = 8(p + 4) -8 + (5 * -1 + 7p * -1) = 8(p + 4) -8 + (-5 + -7p) = 8(p + 4) Combine like terms: -8 + -5 = -13 -13 + -7p = 8(p + 4) Reorder the terms: -13 + -7p = 8(4 + p) -13 + -7p = (4 * 8 + p * 8) -13 + -7p = (32 + 8p) Solving -13 + -7p = 32 + 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. -13 + -7p + -8p = 32 + 8p + -8p Combine like terms: -7p + -8p = -15p -13 + -15p = 32 + 8p + -8p Combine like terms: 8p + -8p = 0 -13 + -15p = 32 + 0 -13 + -15p = 32 Add '13' to each side of the equation. -13 + 13 + -15p = 32 + 13 Combine like terms: -13 + 13 = 0 0 + -15p = 32 + 13 -15p = 32 + 13 Combine like terms: 32 + 13 = 45 -15p = 45 Divide each side by '-15'. p = -3 Simplifying p = -3
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