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Simplifying -6p + 9 = -9(8p + 10) + (4 + -9p) Reorder the terms: 9 + -6p = -9(8p + 10) + (4 + -9p) Reorder the terms: 9 + -6p = -9(10 + 8p) + (4 + -9p) 9 + -6p = (10 * -9 + 8p * -9) + (4 + -9p) 9 + -6p = (-90 + -72p) + (4 + -9p) Remove parenthesis around (4 + -9p) 9 + -6p = -90 + -72p + 4 + -9p Reorder the terms: 9 + -6p = -90 + 4 + -72p + -9p Combine like terms: -90 + 4 = -86 9 + -6p = -86 + -72p + -9p Combine like terms: -72p + -9p = -81p 9 + -6p = -86 + -81p Solving 9 + -6p = -86 + -81p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '81p' to each side of the equation. 9 + -6p + 81p = -86 + -81p + 81p Combine like terms: -6p + 81p = 75p 9 + 75p = -86 + -81p + 81p Combine like terms: -81p + 81p = 0 9 + 75p = -86 + 0 9 + 75p = -86 Add '-9' to each side of the equation. 9 + -9 + 75p = -86 + -9 Combine like terms: 9 + -9 = 0 0 + 75p = -86 + -9 75p = -86 + -9 Combine like terms: -86 + -9 = -95 75p = -95 Divide each side by '75'. p = -1.266666667 Simplifying p = -1.266666667
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