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Simplifying -1(p + 8) = -6p + 12 Reorder the terms: -1(8 + p) = -6p + 12 (8 * -1 + p * -1) = -6p + 12 (-8 + -1p) = -6p + 12 Reorder the terms: -8 + -1p = 12 + -6p Solving -8 + -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. -8 + -1p + 6p = 12 + -6p + 6p Combine like terms: -1p + 6p = 5p -8 + 5p = 12 + -6p + 6p Combine like terms: -6p + 6p = 0 -8 + 5p = 12 + 0 -8 + 5p = 12 Add '8' to each side of the equation. -8 + 8 + 5p = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = 12 + 8 5p = 12 + 8 Combine like terms: 12 + 8 = 20 5p = 20 Divide each side by '5'. p = 4 Simplifying p = 4
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