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Simplifying -2(2p + 2) + -2(1 + -1p) = 3(3p + 2) + -3 Reorder the terms: -2(2 + 2p) + -2(1 + -1p) = 3(3p + 2) + -3 (2 * -2 + 2p * -2) + -2(1 + -1p) = 3(3p + 2) + -3 (-4 + -4p) + -2(1 + -1p) = 3(3p + 2) + -3 -4 + -4p + (1 * -2 + -1p * -2) = 3(3p + 2) + -3 -4 + -4p + (-2 + 2p) = 3(3p + 2) + -3 Reorder the terms: -4 + -2 + -4p + 2p = 3(3p + 2) + -3 Combine like terms: -4 + -2 = -6 -6 + -4p + 2p = 3(3p + 2) + -3 Combine like terms: -4p + 2p = -2p -6 + -2p = 3(3p + 2) + -3 Reorder the terms: -6 + -2p = 3(2 + 3p) + -3 -6 + -2p = (2 * 3 + 3p * 3) + -3 -6 + -2p = (6 + 9p) + -3 Reorder the terms: -6 + -2p = 6 + -3 + 9p Combine like terms: 6 + -3 = 3 -6 + -2p = 3 + 9p Solving -6 + -2p = 3 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. -6 + -2p + -9p = 3 + 9p + -9p Combine like terms: -2p + -9p = -11p -6 + -11p = 3 + 9p + -9p Combine like terms: 9p + -9p = 0 -6 + -11p = 3 + 0 -6 + -11p = 3 Add '6' to each side of the equation. -6 + 6 + -11p = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -11p = 3 + 6 -11p = 3 + 6 Combine like terms: 3 + 6 = 9 -11p = 9 Divide each side by '-11'. p = -0.8181818182 Simplifying p = -0.8181818182
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