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Simplifying -13p + -4(4 + -5p) = 5(p + -2) + -16 -13p + (4 * -4 + -5p * -4) = 5(p + -2) + -16 -13p + (-16 + 20p) = 5(p + -2) + -16 Reorder the terms: -16 + -13p + 20p = 5(p + -2) + -16 Combine like terms: -13p + 20p = 7p -16 + 7p = 5(p + -2) + -16 Reorder the terms: -16 + 7p = 5(-2 + p) + -16 -16 + 7p = (-2 * 5 + p * 5) + -16 -16 + 7p = (-10 + 5p) + -16 Reorder the terms: -16 + 7p = -10 + -16 + 5p Combine like terms: -10 + -16 = -26 -16 + 7p = -26 + 5p Solving -16 + 7p = -26 + 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. -16 + 7p + -5p = -26 + 5p + -5p Combine like terms: 7p + -5p = 2p -16 + 2p = -26 + 5p + -5p Combine like terms: 5p + -5p = 0 -16 + 2p = -26 + 0 -16 + 2p = -26 Add '16' to each side of the equation. -16 + 16 + 2p = -26 + 16 Combine like terms: -16 + 16 = 0 0 + 2p = -26 + 16 2p = -26 + 16 Combine like terms: -26 + 16 = -10 2p = -10 Divide each side by '2'. p = -5 Simplifying p = -5
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