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Simplifying -20p + -15p + 20 = 8(-9p + -20) + 17p Reorder the terms: 20 + -20p + -15p = 8(-9p + -20) + 17p Combine like terms: -20p + -15p = -35p 20 + -35p = 8(-9p + -20) + 17p Reorder the terms: 20 + -35p = 8(-20 + -9p) + 17p 20 + -35p = (-20 * 8 + -9p * 8) + 17p 20 + -35p = (-160 + -72p) + 17p Combine like terms: -72p + 17p = -55p 20 + -35p = -160 + -55p Solving 20 + -35p = -160 + -55p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '55p' to each side of the equation. 20 + -35p + 55p = -160 + -55p + 55p Combine like terms: -35p + 55p = 20p 20 + 20p = -160 + -55p + 55p Combine like terms: -55p + 55p = 0 20 + 20p = -160 + 0 20 + 20p = -160 Add '-20' to each side of the equation. 20 + -20 + 20p = -160 + -20 Combine like terms: 20 + -20 = 0 0 + 20p = -160 + -20 20p = -160 + -20 Combine like terms: -160 + -20 = -180 20p = -180 Divide each side by '20'. p = -9 Simplifying p = -9
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