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Simplifying 3p + -17 = -5(p + 5) Reorder the terms: -17 + 3p = -5(p + 5) Reorder the terms: -17 + 3p = -5(5 + p) -17 + 3p = (5 * -5 + p * -5) -17 + 3p = (-25 + -5p) Solving -17 + 3p = -25 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -17 + 3p + 5p = -25 + -5p + 5p Combine like terms: 3p + 5p = 8p -17 + 8p = -25 + -5p + 5p Combine like terms: -5p + 5p = 0 -17 + 8p = -25 + 0 -17 + 8p = -25 Add '17' to each side of the equation. -17 + 17 + 8p = -25 + 17 Combine like terms: -17 + 17 = 0 0 + 8p = -25 + 17 8p = -25 + 17 Combine like terms: -25 + 17 = -8 8p = -8 Divide each side by '8'. p = -1 Simplifying p = -1
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