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Simplifying -2p + -5(3 + -2p) = 6(p + -4) + -3 -2p + (3 * -5 + -2p * -5) = 6(p + -4) + -3 -2p + (-15 + 10p) = 6(p + -4) + -3 Reorder the terms: -15 + -2p + 10p = 6(p + -4) + -3 Combine like terms: -2p + 10p = 8p -15 + 8p = 6(p + -4) + -3 Reorder the terms: -15 + 8p = 6(-4 + p) + -3 -15 + 8p = (-4 * 6 + p * 6) + -3 -15 + 8p = (-24 + 6p) + -3 Reorder the terms: -15 + 8p = -24 + -3 + 6p Combine like terms: -24 + -3 = -27 -15 + 8p = -27 + 6p Solving -15 + 8p = -27 + 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. -15 + 8p + -6p = -27 + 6p + -6p Combine like terms: 8p + -6p = 2p -15 + 2p = -27 + 6p + -6p Combine like terms: 6p + -6p = 0 -15 + 2p = -27 + 0 -15 + 2p = -27 Add '15' to each side of the equation. -15 + 15 + 2p = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -27 + 15 2p = -27 + 15 Combine like terms: -27 + 15 = -12 2p = -12 Divide each side by '2'. p = -6 Simplifying p = -6
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