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Simplifying 6 + 13p + -3 = 9p + 53 + -6p Reorder the terms: 6 + -3 + 13p = 9p + 53 + -6p Combine like terms: 6 + -3 = 3 3 + 13p = 9p + 53 + -6p Reorder the terms: 3 + 13p = 53 + 9p + -6p Combine like terms: 9p + -6p = 3p 3 + 13p = 53 + 3p Solving 3 + 13p = 53 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 3 + 13p + -3p = 53 + 3p + -3p Combine like terms: 13p + -3p = 10p 3 + 10p = 53 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + 10p = 53 + 0 3 + 10p = 53 Add '-3' to each side of the equation. 3 + -3 + 10p = 53 + -3 Combine like terms: 3 + -3 = 0 0 + 10p = 53 + -3 10p = 53 + -3 Combine like terms: 53 + -3 = 50 10p = 50 Divide each side by '10'. p = 5 Simplifying p = 5
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