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Simplifying 6 + 13p + -4 = 9p + 51 + -3p Reorder the terms: 6 + -4 + 13p = 9p + 51 + -3p Combine like terms: 6 + -4 = 2 2 + 13p = 9p + 51 + -3p Reorder the terms: 2 + 13p = 51 + 9p + -3p Combine like terms: 9p + -3p = 6p 2 + 13p = 51 + 6p Solving 2 + 13p = 51 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 2 + 13p + -6p = 51 + 6p + -6p Combine like terms: 13p + -6p = 7p 2 + 7p = 51 + 6p + -6p Combine like terms: 6p + -6p = 0 2 + 7p = 51 + 0 2 + 7p = 51 Add '-2' to each side of the equation. 2 + -2 + 7p = 51 + -2 Combine like terms: 2 + -2 = 0 0 + 7p = 51 + -2 7p = 51 + -2 Combine like terms: 51 + -2 = 49 7p = 49 Divide each side by '7'. p = 7 Simplifying p = 7
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