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Simplifying -5(2p + 2) + -7 = 3(p + 5) Reorder the terms: -5(2 + 2p) + -7 = 3(p + 5) (2 * -5 + 2p * -5) + -7 = 3(p + 5) (-10 + -10p) + -7 = 3(p + 5) Reorder the terms: -10 + -7 + -10p = 3(p + 5) Combine like terms: -10 + -7 = -17 -17 + -10p = 3(p + 5) Reorder the terms: -17 + -10p = 3(5 + p) -17 + -10p = (5 * 3 + p * 3) -17 + -10p = (15 + 3p) Solving -17 + -10p = 15 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -17 + -10p + -3p = 15 + 3p + -3p Combine like terms: -10p + -3p = -13p -17 + -13p = 15 + 3p + -3p Combine like terms: 3p + -3p = 0 -17 + -13p = 15 + 0 -17 + -13p = 15 Add '17' to each side of the equation. -17 + 17 + -13p = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -13p = 15 + 17 -13p = 15 + 17 Combine like terms: 15 + 17 = 32 -13p = 32 Divide each side by '-13'. p = -2.461538462 Simplifying p = -2.461538462
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