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Simplifying -13p + -4(2 + -5p) = 5(p + -5) + -13 -13p + (2 * -4 + -5p * -4) = 5(p + -5) + -13 -13p + (-8 + 20p) = 5(p + -5) + -13 Reorder the terms: -8 + -13p + 20p = 5(p + -5) + -13 Combine like terms: -13p + 20p = 7p -8 + 7p = 5(p + -5) + -13 Reorder the terms: -8 + 7p = 5(-5 + p) + -13 -8 + 7p = (-5 * 5 + p * 5) + -13 -8 + 7p = (-25 + 5p) + -13 Reorder the terms: -8 + 7p = -25 + -13 + 5p Combine like terms: -25 + -13 = -38 -8 + 7p = -38 + 5p Solving -8 + 7p = -38 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -8 + 7p + -5p = -38 + 5p + -5p Combine like terms: 7p + -5p = 2p -8 + 2p = -38 + 5p + -5p Combine like terms: 5p + -5p = 0 -8 + 2p = -38 + 0 -8 + 2p = -38 Add '8' to each side of the equation. -8 + 8 + 2p = -38 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -38 + 8 2p = -38 + 8 Combine like terms: -38 + 8 = -30 2p = -30 Divide each side by '2'. p = -15 Simplifying p = -15
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