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Simplifying -1p + 12 = 6p + -2 Reorder the terms: 12 + -1p = 6p + -2 Reorder the terms: 12 + -1p = -2 + 6p Solving 12 + -1p = -2 + 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. 12 + -1p + -6p = -2 + 6p + -6p Combine like terms: -1p + -6p = -7p 12 + -7p = -2 + 6p + -6p Combine like terms: 6p + -6p = 0 12 + -7p = -2 + 0 12 + -7p = -2 Add '-12' to each side of the equation. 12 + -12 + -7p = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -7p = -2 + -12 -7p = -2 + -12 Combine like terms: -2 + -12 = -14 -7p = -14 Divide each side by '-7'. p = 2 Simplifying p = 2
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