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Simplifying 2(u + -2) = 9u + 8 + -2(-4u + -3) Reorder the terms: 2(-2 + u) = 9u + 8 + -2(-4u + -3) (-2 * 2 + u * 2) = 9u + 8 + -2(-4u + -3) (-4 + 2u) = 9u + 8 + -2(-4u + -3) Reorder the terms: -4 + 2u = 9u + 8 + -2(-3 + -4u) -4 + 2u = 9u + 8 + (-3 * -2 + -4u * -2) -4 + 2u = 9u + 8 + (6 + 8u) Reorder the terms: -4 + 2u = 8 + 6 + 9u + 8u Combine like terms: 8 + 6 = 14 -4 + 2u = 14 + 9u + 8u Combine like terms: 9u + 8u = 17u -4 + 2u = 14 + 17u Solving -4 + 2u = 14 + 17u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-17u' to each side of the equation. -4 + 2u + -17u = 14 + 17u + -17u Combine like terms: 2u + -17u = -15u -4 + -15u = 14 + 17u + -17u Combine like terms: 17u + -17u = 0 -4 + -15u = 14 + 0 -4 + -15u = 14 Add '4' to each side of the equation. -4 + 4 + -15u = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -15u = 14 + 4 -15u = 14 + 4 Combine like terms: 14 + 4 = 18 -15u = 18 Divide each side by '-15'. u = -1.2 Simplifying u = -1.2
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