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Simplifying 4(3 + -1p) = 5(p + 1) (3 * 4 + -1p * 4) = 5(p + 1) (12 + -4p) = 5(p + 1) Reorder the terms: 12 + -4p = 5(1 + p) 12 + -4p = (1 * 5 + p * 5) 12 + -4p = (5 + 5p) Solving 12 + -4p = 5 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 12 + -4p + -5p = 5 + 5p + -5p Combine like terms: -4p + -5p = -9p 12 + -9p = 5 + 5p + -5p Combine like terms: 5p + -5p = 0 12 + -9p = 5 + 0 12 + -9p = 5 Add '-12' to each side of the equation. 12 + -12 + -9p = 5 + -12 Combine like terms: 12 + -12 = 0 0 + -9p = 5 + -12 -9p = 5 + -12 Combine like terms: 5 + -12 = -7 -9p = -7 Divide each side by '-9'. p = 0.7777777778 Simplifying p = 0.7777777778
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