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Simplifying 5p + -3 = 9(9p + -10) + -9(9 + 8p) Reorder the terms: -3 + 5p = 9(9p + -10) + -9(9 + 8p) Reorder the terms: -3 + 5p = 9(-10 + 9p) + -9(9 + 8p) -3 + 5p = (-10 * 9 + 9p * 9) + -9(9 + 8p) -3 + 5p = (-90 + 81p) + -9(9 + 8p) -3 + 5p = -90 + 81p + (9 * -9 + 8p * -9) -3 + 5p = -90 + 81p + (-81 + -72p) Reorder the terms: -3 + 5p = -90 + -81 + 81p + -72p Combine like terms: -90 + -81 = -171 -3 + 5p = -171 + 81p + -72p Combine like terms: 81p + -72p = 9p -3 + 5p = -171 + 9p Solving -3 + 5p = -171 + 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. -3 + 5p + -9p = -171 + 9p + -9p Combine like terms: 5p + -9p = -4p -3 + -4p = -171 + 9p + -9p Combine like terms: 9p + -9p = 0 -3 + -4p = -171 + 0 -3 + -4p = -171 Add '3' to each side of the equation. -3 + 3 + -4p = -171 + 3 Combine like terms: -3 + 3 = 0 0 + -4p = -171 + 3 -4p = -171 + 3 Combine like terms: -171 + 3 = -168 -4p = -168 Divide each side by '-4'. p = 42 Simplifying p = 42
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