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Simplifying -2p + -2(5 + -5p) = 6(p + -2) + -12 -2p + (5 * -2 + -5p * -2) = 6(p + -2) + -12 -2p + (-10 + 10p) = 6(p + -2) + -12 Reorder the terms: -10 + -2p + 10p = 6(p + -2) + -12 Combine like terms: -2p + 10p = 8p -10 + 8p = 6(p + -2) + -12 Reorder the terms: -10 + 8p = 6(-2 + p) + -12 -10 + 8p = (-2 * 6 + p * 6) + -12 -10 + 8p = (-12 + 6p) + -12 Reorder the terms: -10 + 8p = -12 + -12 + 6p Combine like terms: -12 + -12 = -24 -10 + 8p = -24 + 6p Solving -10 + 8p = -24 + 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. -10 + 8p + -6p = -24 + 6p + -6p Combine like terms: 8p + -6p = 2p -10 + 2p = -24 + 6p + -6p Combine like terms: 6p + -6p = 0 -10 + 2p = -24 + 0 -10 + 2p = -24 Add '10' to each side of the equation. -10 + 10 + 2p = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -24 + 10 2p = -24 + 10 Combine like terms: -24 + 10 = -14 2p = -14 Divide each side by '2'. p = -7 Simplifying p = -7
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