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Simplifying 5(3 + -1p) = 3(4 + -1p) (3 * 5 + -1p * 5) = 3(4 + -1p) (15 + -5p) = 3(4 + -1p) 15 + -5p = (4 * 3 + -1p * 3) 15 + -5p = (12 + -3p) Solving 15 + -5p = 12 + -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. 15 + -5p + 3p = 12 + -3p + 3p Combine like terms: -5p + 3p = -2p 15 + -2p = 12 + -3p + 3p Combine like terms: -3p + 3p = 0 15 + -2p = 12 + 0 15 + -2p = 12 Add '-15' to each side of the equation. 15 + -15 + -2p = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -2p = 12 + -15 -2p = 12 + -15 Combine like terms: 12 + -15 = -3 -2p = -3 Divide each side by '-2'. p = 1.5 Simplifying p = 1.5
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