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Simplifying -2p + -3(6 + -4p) = 6(p + -4) + -14 -2p + (6 * -3 + -4p * -3) = 6(p + -4) + -14 -2p + (-18 + 12p) = 6(p + -4) + -14 Reorder the terms: -18 + -2p + 12p = 6(p + -4) + -14 Combine like terms: -2p + 12p = 10p -18 + 10p = 6(p + -4) + -14 Reorder the terms: -18 + 10p = 6(-4 + p) + -14 -18 + 10p = (-4 * 6 + p * 6) + -14 -18 + 10p = (-24 + 6p) + -14 Reorder the terms: -18 + 10p = -24 + -14 + 6p Combine like terms: -24 + -14 = -38 -18 + 10p = -38 + 6p Solving -18 + 10p = -38 + 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. -18 + 10p + -6p = -38 + 6p + -6p Combine like terms: 10p + -6p = 4p -18 + 4p = -38 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 4p = -38 + 0 -18 + 4p = -38 Add '18' to each side of the equation. -18 + 18 + 4p = -38 + 18 Combine like terms: -18 + 18 = 0 0 + 4p = -38 + 18 4p = -38 + 18 Combine like terms: -38 + 18 = -20 4p = -20 Divide each side by '4'. p = -5 Simplifying p = -5
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