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Simplifying 2(-3p + 5) = -4(p + 4) Reorder the terms: 2(5 + -3p) = -4(p + 4) (5 * 2 + -3p * 2) = -4(p + 4) (10 + -6p) = -4(p + 4) Reorder the terms: 10 + -6p = -4(4 + p) 10 + -6p = (4 * -4 + p * -4) 10 + -6p = (-16 + -4p) Solving 10 + -6p = -16 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 10 + -6p + 4p = -16 + -4p + 4p Combine like terms: -6p + 4p = -2p 10 + -2p = -16 + -4p + 4p Combine like terms: -4p + 4p = 0 10 + -2p = -16 + 0 10 + -2p = -16 Add '-10' to each side of the equation. 10 + -10 + -2p = -16 + -10 Combine like terms: 10 + -10 = 0 0 + -2p = -16 + -10 -2p = -16 + -10 Combine like terms: -16 + -10 = -26 -2p = -26 Divide each side by '-2'. p = 13 Simplifying p = 13
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