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