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