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Simplifying -5(p + -4) + 3 = 10 + -1(p + -1) Reorder the terms: -5(-4 + p) + 3 = 10 + -1(p + -1) (-4 * -5 + p * -5) + 3 = 10 + -1(p + -1) (20 + -5p) + 3 = 10 + -1(p + -1) Reorder the terms: 20 + 3 + -5p = 10 + -1(p + -1) Combine like terms: 20 + 3 = 23 23 + -5p = 10 + -1(p + -1) Reorder the terms: 23 + -5p = 10 + -1(-1 + p) 23 + -5p = 10 + (-1 * -1 + p * -1) 23 + -5p = 10 + (1 + -1p) Combine like terms: 10 + 1 = 11 23 + -5p = 11 + -1p Solving 23 + -5p = 11 + -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 + -5p + p = 11 + -1p + p Combine like terms: -5p + p = -4p 23 + -4p = 11 + -1p + p Combine like terms: -1p + p = 0 23 + -4p = 11 + 0 23 + -4p = 11 Add '-23' to each side of the equation. 23 + -23 + -4p = 11 + -23 Combine like terms: 23 + -23 = 0 0 + -4p = 11 + -23 -4p = 11 + -23 Combine like terms: 11 + -23 = -12 -4p = -12 Divide each side by '-4'. p = 3 Simplifying p = 3
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