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Simplifying -4p + 23 = -1(p + 1) Reorder the terms: 23 + -4p = -1(p + 1) Reorder the terms: 23 + -4p = -1(1 + p) 23 + -4p = (1 * -1 + p * -1) 23 + -4p = (-1 + -1p) Solving 23 + -4p = -1 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 23 + -4p + p = -1 + -1p + p Combine like terms: -4p + p = -3p 23 + -3p = -1 + -1p + p Combine like terms: -1p + p = 0 23 + -3p = -1 + 0 23 + -3p = -1 Add '-23' to each side of the equation. 23 + -23 + -3p = -1 + -23 Combine like terms: 23 + -23 = 0 0 + -3p = -1 + -23 -3p = -1 + -23 Combine like terms: -1 + -23 = -24 -3p = -24 Divide each side by '-3'. p = 8 Simplifying p = 8
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