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Simplifying -5p + -4(4 + -3p) = 5(p + -4) + -14 -5p + (4 * -4 + -3p * -4) = 5(p + -4) + -14 -5p + (-16 + 12p) = 5(p + -4) + -14 Reorder the terms: -16 + -5p + 12p = 5(p + -4) + -14 Combine like terms: -5p + 12p = 7p -16 + 7p = 5(p + -4) + -14 Reorder the terms: -16 + 7p = 5(-4 + p) + -14 -16 + 7p = (-4 * 5 + p * 5) + -14 -16 + 7p = (-20 + 5p) + -14 Reorder the terms: -16 + 7p = -20 + -14 + 5p Combine like terms: -20 + -14 = -34 -16 + 7p = -34 + 5p Solving -16 + 7p = -34 + 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 = -34 + 5p + -5p Combine like terms: 7p + -5p = 2p -16 + 2p = -34 + 5p + -5p Combine like terms: 5p + -5p = 0 -16 + 2p = -34 + 0 -16 + 2p = -34 Add '16' to each side of the equation. -16 + 16 + 2p = -34 + 16 Combine like terms: -16 + 16 = 0 0 + 2p = -34 + 16 2p = -34 + 16 Combine like terms: -34 + 16 = -18 2p = -18 Divide each side by '2'. p = -9 Simplifying p = -9
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