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Simplifying -6p + 9 = -9(-8p + 10) + 9(4 + -9p) Reorder the terms: 9 + -6p = -9(-8p + 10) + 9(4 + -9p) Reorder the terms: 9 + -6p = -9(10 + -8p) + 9(4 + -9p) 9 + -6p = (10 * -9 + -8p * -9) + 9(4 + -9p) 9 + -6p = (-90 + 72p) + 9(4 + -9p) 9 + -6p = -90 + 72p + (4 * 9 + -9p * 9) 9 + -6p = -90 + 72p + (36 + -81p) Reorder the terms: 9 + -6p = -90 + 36 + 72p + -81p Combine like terms: -90 + 36 = -54 9 + -6p = -54 + 72p + -81p Combine like terms: 72p + -81p = -9p 9 + -6p = -54 + -9p Solving 9 + -6p = -54 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 9 + -6p + 9p = -54 + -9p + 9p Combine like terms: -6p + 9p = 3p 9 + 3p = -54 + -9p + 9p Combine like terms: -9p + 9p = 0 9 + 3p = -54 + 0 9 + 3p = -54 Add '-9' to each side of the equation. 9 + -9 + 3p = -54 + -9 Combine like terms: 9 + -9 = 0 0 + 3p = -54 + -9 3p = -54 + -9 Combine like terms: -54 + -9 = -63 3p = -63 Divide each side by '3'. p = -21 Simplifying p = -21
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