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Simplifying 5(6p + -10) + 7 = 17 + 10p Reorder the terms: 5(-10 + 6p) + 7 = 17 + 10p (-10 * 5 + 6p * 5) + 7 = 17 + 10p (-50 + 30p) + 7 = 17 + 10p Reorder the terms: -50 + 7 + 30p = 17 + 10p Combine like terms: -50 + 7 = -43 -43 + 30p = 17 + 10p Solving -43 + 30p = 17 + 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. -43 + 30p + -10p = 17 + 10p + -10p Combine like terms: 30p + -10p = 20p -43 + 20p = 17 + 10p + -10p Combine like terms: 10p + -10p = 0 -43 + 20p = 17 + 0 -43 + 20p = 17 Add '43' to each side of the equation. -43 + 43 + 20p = 17 + 43 Combine like terms: -43 + 43 = 0 0 + 20p = 17 + 43 20p = 17 + 43 Combine like terms: 17 + 43 = 60 20p = 60 Divide each side by '20'. p = 3 Simplifying p = 3
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