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Simplifying 4(p + -1) = 5(p + 1) Reorder the terms: 4(-1 + p) = 5(p + 1) (-1 * 4 + p * 4) = 5(p + 1) (-4 + 4p) = 5(p + 1) Reorder the terms: -4 + 4p = 5(1 + p) -4 + 4p = (1 * 5 + p * 5) -4 + 4p = (5 + 5p) Solving -4 + 4p = 5 + 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. -4 + 4p + -5p = 5 + 5p + -5p Combine like terms: 4p + -5p = -1p -4 + -1p = 5 + 5p + -5p Combine like terms: 5p + -5p = 0 -4 + -1p = 5 + 0 -4 + -1p = 5 Add '4' to each side of the equation. -4 + 4 + -1p = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 5 + 4 -1p = 5 + 4 Combine like terms: 5 + 4 = 9 -1p = 9 Divide each side by '-1'. p = -9 Simplifying p = -9
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