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Simplifying 9(p + 11) = 8(p + -12) Reorder the terms: 9(11 + p) = 8(p + -12) (11 * 9 + p * 9) = 8(p + -12) (99 + 9p) = 8(p + -12) Reorder the terms: 99 + 9p = 8(-12 + p) 99 + 9p = (-12 * 8 + p * 8) 99 + 9p = (-96 + 8p) Solving 99 + 9p = -96 + 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. 99 + 9p + -8p = -96 + 8p + -8p Combine like terms: 9p + -8p = 1p 99 + 1p = -96 + 8p + -8p Combine like terms: 8p + -8p = 0 99 + 1p = -96 + 0 99 + 1p = -96 Add '-99' to each side of the equation. 99 + -99 + 1p = -96 + -99 Combine like terms: 99 + -99 = 0 0 + 1p = -96 + -99 1p = -96 + -99 Combine like terms: -96 + -99 = -195 1p = -195 Divide each side by '1'. p = -195 Simplifying p = -195
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