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Simplifying -5(p + -4) + -3(-2 + -1p) = p + -2 Reorder the terms: -5(-4 + p) + -3(-2 + -1p) = p + -2 (-4 * -5 + p * -5) + -3(-2 + -1p) = p + -2 (20 + -5p) + -3(-2 + -1p) = p + -2 20 + -5p + (-2 * -3 + -1p * -3) = p + -2 20 + -5p + (6 + 3p) = p + -2 Reorder the terms: 20 + 6 + -5p + 3p = p + -2 Combine like terms: 20 + 6 = 26 26 + -5p + 3p = p + -2 Combine like terms: -5p + 3p = -2p 26 + -2p = p + -2 Reorder the terms: 26 + -2p = -2 + p Solving 26 + -2p = -2 + 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. 26 + -2p + -1p = -2 + p + -1p Combine like terms: -2p + -1p = -3p 26 + -3p = -2 + p + -1p Combine like terms: p + -1p = 0 26 + -3p = -2 + 0 26 + -3p = -2 Add '-26' to each side of the equation. 26 + -26 + -3p = -2 + -26 Combine like terms: 26 + -26 = 0 0 + -3p = -2 + -26 -3p = -2 + -26 Combine like terms: -2 + -26 = -28 -3p = -28 Divide each side by '-3'. p = 9.333333333 Simplifying p = 9.333333333
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