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Simplifying 2(p + 5) + -7 = 3(p + -3) Reorder the terms: 2(5 + p) + -7 = 3(p + -3) (5 * 2 + p * 2) + -7 = 3(p + -3) (10 + 2p) + -7 = 3(p + -3) Reorder the terms: 10 + -7 + 2p = 3(p + -3) Combine like terms: 10 + -7 = 3 3 + 2p = 3(p + -3) Reorder the terms: 3 + 2p = 3(-3 + p) 3 + 2p = (-3 * 3 + p * 3) 3 + 2p = (-9 + 3p) Solving 3 + 2p = -9 + 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. 3 + 2p + -3p = -9 + 3p + -3p Combine like terms: 2p + -3p = -1p 3 + -1p = -9 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + -1p = -9 + 0 3 + -1p = -9 Add '-3' to each side of the equation. 3 + -3 + -1p = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = -9 + -3 -1p = -9 + -3 Combine like terms: -9 + -3 = -12 -1p = -12 Divide each side by '-1'. p = 12 Simplifying p = 12
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