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Simplifying 2(u + -1) = 4u + 7 + -2(-2u + -3) Reorder the terms: 2(-1 + u) = 4u + 7 + -2(-2u + -3) (-1 * 2 + u * 2) = 4u + 7 + -2(-2u + -3) (-2 + 2u) = 4u + 7 + -2(-2u + -3) Reorder the terms: -2 + 2u = 4u + 7 + -2(-3 + -2u) -2 + 2u = 4u + 7 + (-3 * -2 + -2u * -2) -2 + 2u = 4u + 7 + (6 + 4u) Reorder the terms: -2 + 2u = 7 + 6 + 4u + 4u Combine like terms: 7 + 6 = 13 -2 + 2u = 13 + 4u + 4u Combine like terms: 4u + 4u = 8u -2 + 2u = 13 + 8u Solving -2 + 2u = 13 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. -2 + 2u + -8u = 13 + 8u + -8u Combine like terms: 2u + -8u = -6u -2 + -6u = 13 + 8u + -8u Combine like terms: 8u + -8u = 0 -2 + -6u = 13 + 0 -2 + -6u = 13 Add '2' to each side of the equation. -2 + 2 + -6u = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -6u = 13 + 2 -6u = 13 + 2 Combine like terms: 13 + 2 = 15 -6u = 15 Divide each side by '-6'. u = -2.5 Simplifying u = -2.5
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