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Simplifying 9(p + -2) = 8(p + -2) Reorder the terms: 9(-2 + p) = 8(p + -2) (-2 * 9 + p * 9) = 8(p + -2) (-18 + 9p) = 8(p + -2) Reorder the terms: -18 + 9p = 8(-2 + p) -18 + 9p = (-2 * 8 + p * 8) -18 + 9p = (-16 + 8p) Solving -18 + 9p = -16 + 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. -18 + 9p + -8p = -16 + 8p + -8p Combine like terms: 9p + -8p = 1p -18 + 1p = -16 + 8p + -8p Combine like terms: 8p + -8p = 0 -18 + 1p = -16 + 0 -18 + 1p = -16 Add '18' to each side of the equation. -18 + 18 + 1p = -16 + 18 Combine like terms: -18 + 18 = 0 0 + 1p = -16 + 18 1p = -16 + 18 Combine like terms: -16 + 18 = 2 1p = 2 Divide each side by '1'. p = 2 Simplifying p = 2
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