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Simplifying -6(3p + 3) + -9 = 3(2p + 7) Reorder the terms: -6(3 + 3p) + -9 = 3(2p + 7) (3 * -6 + 3p * -6) + -9 = 3(2p + 7) (-18 + -18p) + -9 = 3(2p + 7) Reorder the terms: -18 + -9 + -18p = 3(2p + 7) Combine like terms: -18 + -9 = -27 -27 + -18p = 3(2p + 7) Reorder the terms: -27 + -18p = 3(7 + 2p) -27 + -18p = (7 * 3 + 2p * 3) -27 + -18p = (21 + 6p) Solving -27 + -18p = 21 + 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. -27 + -18p + -6p = 21 + 6p + -6p Combine like terms: -18p + -6p = -24p -27 + -24p = 21 + 6p + -6p Combine like terms: 6p + -6p = 0 -27 + -24p = 21 + 0 -27 + -24p = 21 Add '27' to each side of the equation. -27 + 27 + -24p = 21 + 27 Combine like terms: -27 + 27 = 0 0 + -24p = 21 + 27 -24p = 21 + 27 Combine like terms: 21 + 27 = 48 -24p = 48 Divide each side by '-24'. p = -2 Simplifying p = -2
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