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Simplifying 5 + 3(1 + -1p) = p 5 + (1 * 3 + -1p * 3) = p 5 + (3 + -3p) = p Combine like terms: 5 + 3 = 8 8 + -3p = p Solving 8 + -3p = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 8 + -3p + -1p = p + -1p Combine like terms: -3p + -1p = -4p 8 + -4p = p + -1p Combine like terms: p + -1p = 0 8 + -4p = 0 Add '-8' to each side of the equation. 8 + -8 + -4p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4p = 0 + -8 -4p = 0 + -8 Combine like terms: 0 + -8 = -8 -4p = -8 Divide each side by '-4'. p = 2 Simplifying p = 2
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