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Simplifying 12 + -6p + -15 = 8p + 15 + -5p Reorder the terms: 12 + -15 + -6p = 8p + 15 + -5p Combine like terms: 12 + -15 = -3 -3 + -6p = 8p + 15 + -5p Reorder the terms: -3 + -6p = 15 + 8p + -5p Combine like terms: 8p + -5p = 3p -3 + -6p = 15 + 3p Solving -3 + -6p = 15 + 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 + -6p + -3p = 15 + 3p + -3p Combine like terms: -6p + -3p = -9p -3 + -9p = 15 + 3p + -3p Combine like terms: 3p + -3p = 0 -3 + -9p = 15 + 0 -3 + -9p = 15 Add '3' to each side of the equation. -3 + 3 + -9p = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -9p = 15 + 3 -9p = 15 + 3 Combine like terms: 15 + 3 = 18 -9p = 18 Divide each side by '-9'. p = -2 Simplifying p = -2
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