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Simplifying -5(2p + -1) = 3(p + 4) Reorder the terms: -5(-1 + 2p) = 3(p + 4) (-1 * -5 + 2p * -5) = 3(p + 4) (5 + -10p) = 3(p + 4) Reorder the terms: 5 + -10p = 3(4 + p) 5 + -10p = (4 * 3 + p * 3) 5 + -10p = (12 + 3p) Solving 5 + -10p = 12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 5 + -10p + -3p = 12 + 3p + -3p Combine like terms: -10p + -3p = -13p 5 + -13p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 5 + -13p = 12 + 0 5 + -13p = 12 Add '-5' to each side of the equation. 5 + -5 + -13p = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -13p = 12 + -5 -13p = 12 + -5 Combine like terms: 12 + -5 = 7 -13p = 7 Divide each side by '-13'. p = -0.5384615385 Simplifying p = -0.5384615385
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