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Simplifying -4p + -3(6 + -4p) = 6(p + -5) + -18 -4p + (6 * -3 + -4p * -3) = 6(p + -5) + -18 -4p + (-18 + 12p) = 6(p + -5) + -18 Reorder the terms: -18 + -4p + 12p = 6(p + -5) + -18 Combine like terms: -4p + 12p = 8p -18 + 8p = 6(p + -5) + -18 Reorder the terms: -18 + 8p = 6(-5 + p) + -18 -18 + 8p = (-5 * 6 + p * 6) + -18 -18 + 8p = (-30 + 6p) + -18 Reorder the terms: -18 + 8p = -30 + -18 + 6p Combine like terms: -30 + -18 = -48 -18 + 8p = -48 + 6p Solving -18 + 8p = -48 + 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 + 8p + -6p = -48 + 6p + -6p Combine like terms: 8p + -6p = 2p -18 + 2p = -48 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 2p = -48 + 0 -18 + 2p = -48 Add '18' to each side of the equation. -18 + 18 + 2p = -48 + 18 Combine like terms: -18 + 18 = 0 0 + 2p = -48 + 18 2p = -48 + 18 Combine like terms: -48 + 18 = -30 2p = -30 Divide each side by '2'. p = -15 Simplifying p = -15
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