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Simplifying -5(-3 + -1p) + -4p = 3(1 + -2p) + -2 (-3 * -5 + -1p * -5) + -4p = 3(1 + -2p) + -2 (15 + 5p) + -4p = 3(1 + -2p) + -2 Combine like terms: 5p + -4p = 1p 15 + 1p = 3(1 + -2p) + -2 15 + 1p = (1 * 3 + -2p * 3) + -2 15 + 1p = (3 + -6p) + -2 Reorder the terms: 15 + 1p = 3 + -2 + -6p Combine like terms: 3 + -2 = 1 15 + 1p = 1 + -6p Solving 15 + 1p = 1 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 15 + 1p + 6p = 1 + -6p + 6p Combine like terms: 1p + 6p = 7p 15 + 7p = 1 + -6p + 6p Combine like terms: -6p + 6p = 0 15 + 7p = 1 + 0 15 + 7p = 1 Add '-15' to each side of the equation. 15 + -15 + 7p = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 7p = 1 + -15 7p = 1 + -15 Combine like terms: 1 + -15 = -14 7p = -14 Divide each side by '7'. p = -2 Simplifying p = -2
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