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Simplifying -6(p + -3) = -2(4p + 4) Reorder the terms: -6(-3 + p) = -2(4p + 4) (-3 * -6 + p * -6) = -2(4p + 4) (18 + -6p) = -2(4p + 4) Reorder the terms: 18 + -6p = -2(4 + 4p) 18 + -6p = (4 * -2 + 4p * -2) 18 + -6p = (-8 + -8p) Solving 18 + -6p = -8 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 18 + -6p + 8p = -8 + -8p + 8p Combine like terms: -6p + 8p = 2p 18 + 2p = -8 + -8p + 8p Combine like terms: -8p + 8p = 0 18 + 2p = -8 + 0 18 + 2p = -8 Add '-18' to each side of the equation. 18 + -18 + 2p = -8 + -18 Combine like terms: 18 + -18 = 0 0 + 2p = -8 + -18 2p = -8 + -18 Combine like terms: -8 + -18 = -26 2p = -26 Divide each side by '2'. p = -13 Simplifying p = -13
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