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Simplifying -2p + -2(4 + -5p) = 6(p + -3) + -12 -2p + (4 * -2 + -5p * -2) = 6(p + -3) + -12 -2p + (-8 + 10p) = 6(p + -3) + -12 Reorder the terms: -8 + -2p + 10p = 6(p + -3) + -12 Combine like terms: -2p + 10p = 8p -8 + 8p = 6(p + -3) + -12 Reorder the terms: -8 + 8p = 6(-3 + p) + -12 -8 + 8p = (-3 * 6 + p * 6) + -12 -8 + 8p = (-18 + 6p) + -12 Reorder the terms: -8 + 8p = -18 + -12 + 6p Combine like terms: -18 + -12 = -30 -8 + 8p = -30 + 6p Solving -8 + 8p = -30 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -8 + 8p + -6p = -30 + 6p + -6p Combine like terms: 8p + -6p = 2p -8 + 2p = -30 + 6p + -6p Combine like terms: 6p + -6p = 0 -8 + 2p = -30 + 0 -8 + 2p = -30 Add '8' to each side of the equation. -8 + 8 + 2p = -30 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -30 + 8 2p = -30 + 8 Combine like terms: -30 + 8 = -22 2p = -22 Divide each side by '2'. p = -11 Simplifying p = -11
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