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Simplifying 15 + -6p + -17 = 7p + 16 + -4p Reorder the terms: 15 + -17 + -6p = 7p + 16 + -4p Combine like terms: 15 + -17 = -2 -2 + -6p = 7p + 16 + -4p Reorder the terms: -2 + -6p = 16 + 7p + -4p Combine like terms: 7p + -4p = 3p -2 + -6p = 16 + 3p Solving -2 + -6p = 16 + 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. -2 + -6p + -3p = 16 + 3p + -3p Combine like terms: -6p + -3p = -9p -2 + -9p = 16 + 3p + -3p Combine like terms: 3p + -3p = 0 -2 + -9p = 16 + 0 -2 + -9p = 16 Add '2' to each side of the equation. -2 + 2 + -9p = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -9p = 16 + 2 -9p = 16 + 2 Combine like terms: 16 + 2 = 18 -9p = 18 Divide each side by '-9'. p = -2 Simplifying p = -2
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