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Simplifying 6 + -1(-1p + 8) = -6p + 12 Reorder the terms: 6 + -1(8 + -1p) = -6p + 12 6 + (8 * -1 + -1p * -1) = -6p + 12 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 = 7p -2 + 7p = 12 + -6p + 6p Combine like terms: -6p + 6p = 0 -2 + 7p = 12 + 0 -2 + 7p = 12 Add '2' to each side of the equation. -2 + 2 + 7p = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7p = 12 + 2 7p = 12 + 2 Combine like terms: 12 + 2 = 14 7p = 14 Divide each side by '7'. p = 2 Simplifying p = 2
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