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Simplifying 3(p + 3) = 2(p + -4) Reorder the terms: 3(3 + p) = 2(p + -4) (3 * 3 + p * 3) = 2(p + -4) (9 + 3p) = 2(p + -4) Reorder the terms: 9 + 3p = 2(-4 + p) 9 + 3p = (-4 * 2 + p * 2) 9 + 3p = (-8 + 2p) Solving 9 + 3p = -8 + 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. 9 + 3p + -2p = -8 + 2p + -2p Combine like terms: 3p + -2p = 1p 9 + 1p = -8 + 2p + -2p Combine like terms: 2p + -2p = 0 9 + 1p = -8 + 0 9 + 1p = -8 Add '-9' to each side of the equation. 9 + -9 + 1p = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 1p = -8 + -9 1p = -8 + -9 Combine like terms: -8 + -9 = -17 1p = -17 Divide each side by '1'. p = -17 Simplifying p = -17
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