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Simplifying -3(1 + -1p) = -2(-2p + 8) + 2 (1 * -3 + -1p * -3) = -2(-2p + 8) + 2 (-3 + 3p) = -2(-2p + 8) + 2 Reorder the terms: -3 + 3p = -2(8 + -2p) + 2 -3 + 3p = (8 * -2 + -2p * -2) + 2 -3 + 3p = (-16 + 4p) + 2 Reorder the terms: -3 + 3p = -16 + 2 + 4p Combine like terms: -16 + 2 = -14 -3 + 3p = -14 + 4p Solving -3 + 3p = -14 + 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. -3 + 3p + -4p = -14 + 4p + -4p Combine like terms: 3p + -4p = -1p -3 + -1p = -14 + 4p + -4p Combine like terms: 4p + -4p = 0 -3 + -1p = -14 + 0 -3 + -1p = -14 Add '3' to each side of the equation. -3 + 3 + -1p = -14 + 3 Combine like terms: -3 + 3 = 0 0 + -1p = -14 + 3 -1p = -14 + 3 Combine like terms: -14 + 3 = -11 -1p = -11 Divide each side by '-1'. p = 11 Simplifying p = 11
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