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Simplifying -3p + 8 = 5(p + 1) Reorder the terms: 8 + -3p = 5(p + 1) Reorder the terms: 8 + -3p = 5(1 + p) 8 + -3p = (1 * 5 + p * 5) 8 + -3p = (5 + 5p) Solving 8 + -3p = 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. 8 + -3p + -5p = 5 + 5p + -5p Combine like terms: -3p + -5p = -8p 8 + -8p = 5 + 5p + -5p Combine like terms: 5p + -5p = 0 8 + -8p = 5 + 0 8 + -8p = 5 Add '-8' to each side of the equation. 8 + -8 + -8p = 5 + -8 Combine like terms: 8 + -8 = 0 0 + -8p = 5 + -8 -8p = 5 + -8 Combine like terms: 5 + -8 = -3 -8p = -3 Divide each side by '-8'. p = 0.375 Simplifying p = 0.375
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