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Simplifying 3 + -1(p + 5) + 4p + -7 = p + -9 Reorder the terms: 3 + -1(5 + p) + 4p + -7 = p + -9 3 + (5 * -1 + p * -1) + 4p + -7 = p + -9 3 + (-5 + -1p) + 4p + -7 = p + -9 Reorder the terms: 3 + -5 + -7 + -1p + 4p = p + -9 Combine like terms: 3 + -5 = -2 -2 + -7 + -1p + 4p = p + -9 Combine like terms: -2 + -7 = -9 -9 + -1p + 4p = p + -9 Combine like terms: -1p + 4p = 3p -9 + 3p = p + -9 Reorder the terms: -9 + 3p = -9 + p Add '9' to each side of the equation. -9 + 9 + 3p = -9 + 9 + p Combine like terms: -9 + 9 = 0 0 + 3p = -9 + 9 + p 3p = -9 + 9 + p Combine like terms: -9 + 9 = 0 3p = 0 + p 3p = p Solving 3p = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 3p + -1p = p + -1p Combine like terms: 3p + -1p = 2p 2p = p + -1p Combine like terms: p + -1p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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