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Simplifying 5p + -1(4p + -5) = 3(2p + -6) Reorder the terms: 5p + -1(-5 + 4p) = 3(2p + -6) 5p + (-5 * -1 + 4p * -1) = 3(2p + -6) 5p + (5 + -4p) = 3(2p + -6) Reorder the terms: 5 + 5p + -4p = 3(2p + -6) Combine like terms: 5p + -4p = 1p 5 + 1p = 3(2p + -6) Reorder the terms: 5 + 1p = 3(-6 + 2p) 5 + 1p = (-6 * 3 + 2p * 3) 5 + 1p = (-18 + 6p) Solving 5 + 1p = -18 + 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. 5 + 1p + -6p = -18 + 6p + -6p Combine like terms: 1p + -6p = -5p 5 + -5p = -18 + 6p + -6p Combine like terms: 6p + -6p = 0 5 + -5p = -18 + 0 5 + -5p = -18 Add '-5' to each side of the equation. 5 + -5 + -5p = -18 + -5 Combine like terms: 5 + -5 = 0 0 + -5p = -18 + -5 -5p = -18 + -5 Combine like terms: -18 + -5 = -23 -5p = -23 Divide each side by '-5'. p = 4.6 Simplifying p = 4.6
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