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Simplifying -5(2p + 3) + -9 = 2(4p + 6) Reorder the terms: -5(3 + 2p) + -9 = 2(4p + 6) (3 * -5 + 2p * -5) + -9 = 2(4p + 6) (-15 + -10p) + -9 = 2(4p + 6) Reorder the terms: -15 + -9 + -10p = 2(4p + 6) Combine like terms: -15 + -9 = -24 -24 + -10p = 2(4p + 6) Reorder the terms: -24 + -10p = 2(6 + 4p) -24 + -10p = (6 * 2 + 4p * 2) -24 + -10p = (12 + 8p) Solving -24 + -10p = 12 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -24 + -10p + -8p = 12 + 8p + -8p Combine like terms: -10p + -8p = -18p -24 + -18p = 12 + 8p + -8p Combine like terms: 8p + -8p = 0 -24 + -18p = 12 + 0 -24 + -18p = 12 Add '24' to each side of the equation. -24 + 24 + -18p = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -18p = 12 + 24 -18p = 12 + 24 Combine like terms: 12 + 24 = 36 -18p = 36 Divide each side by '-18'. p = -2 Simplifying p = -2
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