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Simplifying 6p + -2(1 + -1p) = 1 + 3(1 + -1p) 6p + (1 * -2 + -1p * -2) = 1 + 3(1 + -1p) 6p + (-2 + 2p) = 1 + 3(1 + -1p) Reorder the terms: -2 + 6p + 2p = 1 + 3(1 + -1p) Combine like terms: 6p + 2p = 8p -2 + 8p = 1 + 3(1 + -1p) -2 + 8p = 1 + (1 * 3 + -1p * 3) -2 + 8p = 1 + (3 + -3p) Combine like terms: 1 + 3 = 4 -2 + 8p = 4 + -3p Solving -2 + 8p = 4 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -2 + 8p + 3p = 4 + -3p + 3p Combine like terms: 8p + 3p = 11p -2 + 11p = 4 + -3p + 3p Combine like terms: -3p + 3p = 0 -2 + 11p = 4 + 0 -2 + 11p = 4 Add '2' to each side of the equation. -2 + 2 + 11p = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 11p = 4 + 2 11p = 4 + 2 Combine like terms: 4 + 2 = 6 11p = 6 Divide each side by '11'. p = 0.5454545455 Simplifying p = 0.5454545455
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