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Simplifying -1(1 + 9p) = 2p + -6(p + -2) (1 * -1 + 9p * -1) = 2p + -6(p + -2) (-1 + -9p) = 2p + -6(p + -2) Reorder the terms: -1 + -9p = 2p + -6(-2 + p) -1 + -9p = 2p + (-2 * -6 + p * -6) -1 + -9p = 2p + (12 + -6p) Reorder the terms: -1 + -9p = 12 + 2p + -6p Combine like terms: 2p + -6p = -4p -1 + -9p = 12 + -4p Solving -1 + -9p = 12 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -1 + -9p + 4p = 12 + -4p + 4p Combine like terms: -9p + 4p = -5p -1 + -5p = 12 + -4p + 4p Combine like terms: -4p + 4p = 0 -1 + -5p = 12 + 0 -1 + -5p = 12 Add '1' to each side of the equation. -1 + 1 + -5p = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -5p = 12 + 1 -5p = 12 + 1 Combine like terms: 12 + 1 = 13 -5p = 13 Divide each side by '-5'. p = -2.6 Simplifying p = -2.6
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