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Simplifying 4u + -9 + 2(2u + 2) = -7(u + 2) Reorder the terms: 4u + -9 + 2(2 + 2u) = -7(u + 2) 4u + -9 + (2 * 2 + 2u * 2) = -7(u + 2) 4u + -9 + (4 + 4u) = -7(u + 2) Reorder the terms: -9 + 4 + 4u + 4u = -7(u + 2) Combine like terms: -9 + 4 = -5 -5 + 4u + 4u = -7(u + 2) Combine like terms: 4u + 4u = 8u -5 + 8u = -7(u + 2) Reorder the terms: -5 + 8u = -7(2 + u) -5 + 8u = (2 * -7 + u * -7) -5 + 8u = (-14 + -7u) Solving -5 + 8u = -14 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. -5 + 8u + 7u = -14 + -7u + 7u Combine like terms: 8u + 7u = 15u -5 + 15u = -14 + -7u + 7u Combine like terms: -7u + 7u = 0 -5 + 15u = -14 + 0 -5 + 15u = -14 Add '5' to each side of the equation. -5 + 5 + 15u = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 15u = -14 + 5 15u = -14 + 5 Combine like terms: -14 + 5 = -9 15u = -9 Divide each side by '15'. u = -0.6 Simplifying u = -0.6
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