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Simplifying 2p + -2(3 + -4p) = 5(p + -6) + -6 2p + (3 * -2 + -4p * -2) = 5(p + -6) + -6 2p + (-6 + 8p) = 5(p + -6) + -6 Reorder the terms: -6 + 2p + 8p = 5(p + -6) + -6 Combine like terms: 2p + 8p = 10p -6 + 10p = 5(p + -6) + -6 Reorder the terms: -6 + 10p = 5(-6 + p) + -6 -6 + 10p = (-6 * 5 + p * 5) + -6 -6 + 10p = (-30 + 5p) + -6 Reorder the terms: -6 + 10p = -30 + -6 + 5p Combine like terms: -30 + -6 = -36 -6 + 10p = -36 + 5p Solving -6 + 10p = -36 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -6 + 10p + -5p = -36 + 5p + -5p Combine like terms: 10p + -5p = 5p -6 + 5p = -36 + 5p + -5p Combine like terms: 5p + -5p = 0 -6 + 5p = -36 + 0 -6 + 5p = -36 Add '6' to each side of the equation. -6 + 6 + 5p = -36 + 6 Combine like terms: -6 + 6 = 0 0 + 5p = -36 + 6 5p = -36 + 6 Combine like terms: -36 + 6 = -30 5p = -30 Divide each side by '5'. p = -6 Simplifying p = -6
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