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Simplifying -17 + 2p = 5(7 + 3p) -17 + 2p = (7 * 5 + 3p * 5) -17 + 2p = (35 + 15p) Solving -17 + 2p = 35 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -17 + 2p + -15p = 35 + 15p + -15p Combine like terms: 2p + -15p = -13p -17 + -13p = 35 + 15p + -15p Combine like terms: 15p + -15p = 0 -17 + -13p = 35 + 0 -17 + -13p = 35 Add '17' to each side of the equation. -17 + 17 + -13p = 35 + 17 Combine like terms: -17 + 17 = 0 0 + -13p = 35 + 17 -13p = 35 + 17 Combine like terms: 35 + 17 = 52 -13p = 52 Divide each side by '-13'. p = -4 Simplifying p = -4
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