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Simplifying 46 + -3p = -2 + 5(p + -1) Reorder the terms: 46 + -3p = -2 + 5(-1 + p) 46 + -3p = -2 + (-1 * 5 + p * 5) 46 + -3p = -2 + (-5 + 5p) Combine like terms: -2 + -5 = -7 46 + -3p = -7 + 5p Solving 46 + -3p = -7 + 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. 46 + -3p + -5p = -7 + 5p + -5p Combine like terms: -3p + -5p = -8p 46 + -8p = -7 + 5p + -5p Combine like terms: 5p + -5p = 0 46 + -8p = -7 + 0 46 + -8p = -7 Add '-46' to each side of the equation. 46 + -46 + -8p = -7 + -46 Combine like terms: 46 + -46 = 0 0 + -8p = -7 + -46 -8p = -7 + -46 Combine like terms: -7 + -46 = -53 -8p = -53 Divide each side by '-8'. p = 6.625 Simplifying p = 6.625
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