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Simplifying 2(p + 9) = 3(p + -8) Reorder the terms: 2(9 + p) = 3(p + -8) (9 * 2 + p * 2) = 3(p + -8) (18 + 2p) = 3(p + -8) Reorder the terms: 18 + 2p = 3(-8 + p) 18 + 2p = (-8 * 3 + p * 3) 18 + 2p = (-24 + 3p) Solving 18 + 2p = -24 + 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. 18 + 2p + -3p = -24 + 3p + -3p Combine like terms: 2p + -3p = -1p 18 + -1p = -24 + 3p + -3p Combine like terms: 3p + -3p = 0 18 + -1p = -24 + 0 18 + -1p = -24 Add '-18' to each side of the equation. 18 + -18 + -1p = -24 + -18 Combine like terms: 18 + -18 = 0 0 + -1p = -24 + -18 -1p = -24 + -18 Combine like terms: -24 + -18 = -42 -1p = -42 Divide each side by '-1'. p = 42 Simplifying p = 42
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