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Simplifying 3p + -2(5p + 7) = -5 + -2(p + 12) Reorder the terms: 3p + -2(7 + 5p) = -5 + -2(p + 12) 3p + (7 * -2 + 5p * -2) = -5 + -2(p + 12) 3p + (-14 + -10p) = -5 + -2(p + 12) Reorder the terms: -14 + 3p + -10p = -5 + -2(p + 12) Combine like terms: 3p + -10p = -7p -14 + -7p = -5 + -2(p + 12) Reorder the terms: -14 + -7p = -5 + -2(12 + p) -14 + -7p = -5 + (12 * -2 + p * -2) -14 + -7p = -5 + (-24 + -2p) Combine like terms: -5 + -24 = -29 -14 + -7p = -29 + -2p Solving -14 + -7p = -29 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -14 + -7p + 2p = -29 + -2p + 2p Combine like terms: -7p + 2p = -5p -14 + -5p = -29 + -2p + 2p Combine like terms: -2p + 2p = 0 -14 + -5p = -29 + 0 -14 + -5p = -29 Add '14' to each side of the equation. -14 + 14 + -5p = -29 + 14 Combine like terms: -14 + 14 = 0 0 + -5p = -29 + 14 -5p = -29 + 14 Combine like terms: -29 + 14 = -15 -5p = -15 Divide each side by '-5'. p = 3 Simplifying p = 3
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