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Simplifying -9(-1p + -3) = -6(p + 3) Reorder the terms: -9(-3 + -1p) = -6(p + 3) (-3 * -9 + -1p * -9) = -6(p + 3) (27 + 9p) = -6(p + 3) Reorder the terms: 27 + 9p = -6(3 + p) 27 + 9p = (3 * -6 + p * -6) 27 + 9p = (-18 + -6p) Solving 27 + 9p = -18 + -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 + 9p + 6p = -18 + -6p + 6p Combine like terms: 9p + 6p = 15p 27 + 15p = -18 + -6p + 6p Combine like terms: -6p + 6p = 0 27 + 15p = -18 + 0 27 + 15p = -18 Add '-27' to each side of the equation. 27 + -27 + 15p = -18 + -27 Combine like terms: 27 + -27 = 0 0 + 15p = -18 + -27 15p = -18 + -27 Combine like terms: -18 + -27 = -45 15p = -45 Divide each side by '15'. p = -3 Simplifying p = -3
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