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Simplifying -6 + -1p + 8 = -6p + 12 Reorder the terms: -6 + 8 + -1p = -6p + 12 Combine like terms: -6 + 8 = 2 2 + -1p = -6p + 12 Reorder the terms: 2 + -1p = 12 + -6p Solving 2 + -1p = 12 + -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 + -1p + 6p = 12 + -6p + 6p Combine like terms: -1p + 6p = 5p 2 + 5p = 12 + -6p + 6p Combine like terms: -6p + 6p = 0 2 + 5p = 12 + 0 2 + 5p = 12 Add '-2' to each side of the equation. 2 + -2 + 5p = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 5p = 12 + -2 5p = 12 + -2 Combine like terms: 12 + -2 = 10 5p = 10 Divide each side by '5'. p = 2 Simplifying p = 2
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