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Simplifying 5(p + -6) = 3(p + 6) Reorder the terms: 5(-6 + p) = 3(p + 6) (-6 * 5 + p * 5) = 3(p + 6) (-30 + 5p) = 3(p + 6) Reorder the terms: -30 + 5p = 3(6 + p) -30 + 5p = (6 * 3 + p * 3) -30 + 5p = (18 + 3p) Solving -30 + 5p = 18 + 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. -30 + 5p + -3p = 18 + 3p + -3p Combine like terms: 5p + -3p = 2p -30 + 2p = 18 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 2p = 18 + 0 -30 + 2p = 18 Add '30' to each side of the equation. -30 + 30 + 2p = 18 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = 18 + 30 2p = 18 + 30 Combine like terms: 18 + 30 = 48 2p = 48 Divide each side by '2'. p = 24 Simplifying p = 24
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