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Simplifying -6(u + -4) + 4u = -7u + 2(u + -6) Reorder the terms: -6(-4 + u) + 4u = -7u + 2(u + -6) (-4 * -6 + u * -6) + 4u = -7u + 2(u + -6) (24 + -6u) + 4u = -7u + 2(u + -6) Combine like terms: -6u + 4u = -2u 24 + -2u = -7u + 2(u + -6) Reorder the terms: 24 + -2u = -7u + 2(-6 + u) 24 + -2u = -7u + (-6 * 2 + u * 2) 24 + -2u = -7u + (-12 + 2u) Reorder the terms: 24 + -2u = -12 + -7u + 2u Combine like terms: -7u + 2u = -5u 24 + -2u = -12 + -5u Solving 24 + -2u = -12 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 24 + -2u + 5u = -12 + -5u + 5u Combine like terms: -2u + 5u = 3u 24 + 3u = -12 + -5u + 5u Combine like terms: -5u + 5u = 0 24 + 3u = -12 + 0 24 + 3u = -12 Add '-24' to each side of the equation. 24 + -24 + 3u = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 3u = -12 + -24 3u = -12 + -24 Combine like terms: -12 + -24 = -36 3u = -36 Divide each side by '3'. u = -12 Simplifying u = -12
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