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Simplifying 5p + -29 = -1(p + 5) Reorder the terms: -29 + 5p = -1(p + 5) Reorder the terms: -29 + 5p = -1(5 + p) -29 + 5p = (5 * -1 + p * -1) -29 + 5p = (-5 + -1p) Solving -29 + 5p = -5 + -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. -29 + 5p + p = -5 + -1p + p Combine like terms: 5p + p = 6p -29 + 6p = -5 + -1p + p Combine like terms: -1p + p = 0 -29 + 6p = -5 + 0 -29 + 6p = -5 Add '29' to each side of the equation. -29 + 29 + 6p = -5 + 29 Combine like terms: -29 + 29 = 0 0 + 6p = -5 + 29 6p = -5 + 29 Combine like terms: -5 + 29 = 24 6p = 24 Divide each side by '6'. p = 4 Simplifying p = 4
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