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Simplifying -5(2p + 3) + -27 = 2(4p + 6) Reorder the terms: -5(3 + 2p) + -27 = 2(4p + 6) (3 * -5 + 2p * -5) + -27 = 2(4p + 6) (-15 + -10p) + -27 = 2(4p + 6) Reorder the terms: -15 + -27 + -10p = 2(4p + 6) Combine like terms: -15 + -27 = -42 -42 + -10p = 2(4p + 6) Reorder the terms: -42 + -10p = 2(6 + 4p) -42 + -10p = (6 * 2 + 4p * 2) -42 + -10p = (12 + 8p) Solving -42 + -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. -42 + -10p + -8p = 12 + 8p + -8p Combine like terms: -10p + -8p = -18p -42 + -18p = 12 + 8p + -8p Combine like terms: 8p + -8p = 0 -42 + -18p = 12 + 0 -42 + -18p = 12 Add '42' to each side of the equation. -42 + 42 + -18p = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -18p = 12 + 42 -18p = 12 + 42 Combine like terms: 12 + 42 = 54 -18p = 54 Divide each side by '-18'. p = -3 Simplifying p = -3
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