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Simplifying 50 + 15 + 10p = 30 + 10 + 10(1 + -1p) Combine like terms: 50 + 15 = 65 65 + 10p = 30 + 10 + 10(1 + -1p) 65 + 10p = 30 + 10 + (1 * 10 + -1p * 10) 65 + 10p = 30 + 10 + (10 + -10p) Combine like terms: 30 + 10 = 40 65 + 10p = 40 + 10 + -10p Combine like terms: 40 + 10 = 50 65 + 10p = 50 + -10p Solving 65 + 10p = 50 + -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. 65 + 10p + 10p = 50 + -10p + 10p Combine like terms: 10p + 10p = 20p 65 + 20p = 50 + -10p + 10p Combine like terms: -10p + 10p = 0 65 + 20p = 50 + 0 65 + 20p = 50 Add '-65' to each side of the equation. 65 + -65 + 20p = 50 + -65 Combine like terms: 65 + -65 = 0 0 + 20p = 50 + -65 20p = 50 + -65 Combine like terms: 50 + -65 = -15 20p = -15 Divide each side by '20'. p = -0.75 Simplifying p = -0.75
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