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Simplifying 5p + 8 = 3(4 + -1p) Reorder the terms: 8 + 5p = 3(4 + -1p) 8 + 5p = (4 * 3 + -1p * 3) 8 + 5p = (12 + -3p) Solving 8 + 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. 8 + 5p + 3p = 12 + -3p + 3p Combine like terms: 5p + 3p = 8p 8 + 8p = 12 + -3p + 3p Combine like terms: -3p + 3p = 0 8 + 8p = 12 + 0 8 + 8p = 12 Add '-8' to each side of the equation. 8 + -8 + 8p = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 8p = 12 + -8 8p = 12 + -8 Combine like terms: 12 + -8 = 4 8p = 4 Divide each side by '8'. p = 0.5 Simplifying p = 0.5
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