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Simplifying 10(1 + -1p) = 10(p + 9) (1 * 10 + -1p * 10) = 10(p + 9) (10 + -10p) = 10(p + 9) Reorder the terms: 10 + -10p = 10(9 + p) 10 + -10p = (9 * 10 + p * 10) 10 + -10p = (90 + 10p) Solving 10 + -10p = 90 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 10 + -10p + -10p = 90 + 10p + -10p Combine like terms: -10p + -10p = -20p 10 + -20p = 90 + 10p + -10p Combine like terms: 10p + -10p = 0 10 + -20p = 90 + 0 10 + -20p = 90 Add '-10' to each side of the equation. 10 + -10 + -20p = 90 + -10 Combine like terms: 10 + -10 = 0 0 + -20p = 90 + -10 -20p = 90 + -10 Combine like terms: 90 + -10 = 80 -20p = 80 Divide each side by '-20'. p = -4 Simplifying p = -4
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