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Simplifying -12 + p + -2 + -1 = -6p + 6 Reorder the terms: -12 + -2 + -1 + p = -6p + 6 Combine like terms: -12 + -2 = -14 -14 + -1 + p = -6p + 6 Combine like terms: -14 + -1 = -15 -15 + p = -6p + 6 Reorder the terms: -15 + p = 6 + -6p Solving -15 + p = 6 + -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. -15 + p + 6p = 6 + -6p + 6p Combine like terms: p + 6p = 7p -15 + 7p = 6 + -6p + 6p Combine like terms: -6p + 6p = 0 -15 + 7p = 6 + 0 -15 + 7p = 6 Add '15' to each side of the equation. -15 + 15 + 7p = 6 + 15 Combine like terms: -15 + 15 = 0 0 + 7p = 6 + 15 7p = 6 + 15 Combine like terms: 6 + 15 = 21 7p = 21 Divide each side by '7'. p = 3 Simplifying p = 3
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