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Simplifying -3(6p + -4) = -4(1 + 5p) Reorder the terms: -3(-4 + 6p) = -4(1 + 5p) (-4 * -3 + 6p * -3) = -4(1 + 5p) (12 + -18p) = -4(1 + 5p) 12 + -18p = (1 * -4 + 5p * -4) 12 + -18p = (-4 + -20p) Solving 12 + -18p = -4 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. 12 + -18p + 20p = -4 + -20p + 20p Combine like terms: -18p + 20p = 2p 12 + 2p = -4 + -20p + 20p Combine like terms: -20p + 20p = 0 12 + 2p = -4 + 0 12 + 2p = -4 Add '-12' to each side of the equation. 12 + -12 + 2p = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2p = -4 + -12 2p = -4 + -12 Combine like terms: -4 + -12 = -16 2p = -16 Divide each side by '2'. p = -8 Simplifying p = -8
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