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Simplifying -5(-2p + 2) + -7 = 3(2p + 5) Reorder the terms: -5(2 + -2p) + -7 = 3(2p + 5) (2 * -5 + -2p * -5) + -7 = 3(2p + 5) (-10 + 10p) + -7 = 3(2p + 5) Reorder the terms: -10 + -7 + 10p = 3(2p + 5) Combine like terms: -10 + -7 = -17 -17 + 10p = 3(2p + 5) Reorder the terms: -17 + 10p = 3(5 + 2p) -17 + 10p = (5 * 3 + 2p * 3) -17 + 10p = (15 + 6p) Solving -17 + 10p = 15 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -17 + 10p + -6p = 15 + 6p + -6p Combine like terms: 10p + -6p = 4p -17 + 4p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 -17 + 4p = 15 + 0 -17 + 4p = 15 Add '17' to each side of the equation. -17 + 17 + 4p = 15 + 17 Combine like terms: -17 + 17 = 0 0 + 4p = 15 + 17 4p = 15 + 17 Combine like terms: 15 + 17 = 32 4p = 32 Divide each side by '4'. p = 8 Simplifying p = 8
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