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Simplifying 4(u + -2) = 9u + 4 + -3(-3u + -2) Reorder the terms: 4(-2 + u) = 9u + 4 + -3(-3u + -2) (-2 * 4 + u * 4) = 9u + 4 + -3(-3u + -2) (-8 + 4u) = 9u + 4 + -3(-3u + -2) Reorder the terms: -8 + 4u = 9u + 4 + -3(-2 + -3u) -8 + 4u = 9u + 4 + (-2 * -3 + -3u * -3) -8 + 4u = 9u + 4 + (6 + 9u) Reorder the terms: -8 + 4u = 4 + 6 + 9u + 9u Combine like terms: 4 + 6 = 10 -8 + 4u = 10 + 9u + 9u Combine like terms: 9u + 9u = 18u -8 + 4u = 10 + 18u Solving -8 + 4u = 10 + 18u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-18u' to each side of the equation. -8 + 4u + -18u = 10 + 18u + -18u Combine like terms: 4u + -18u = -14u -8 + -14u = 10 + 18u + -18u Combine like terms: 18u + -18u = 0 -8 + -14u = 10 + 0 -8 + -14u = 10 Add '8' to each side of the equation. -8 + 8 + -14u = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -14u = 10 + 8 -14u = 10 + 8 Combine like terms: 10 + 8 = 18 -14u = 18 Divide each side by '-14'. u = -1.285714286 Simplifying u = -1.285714286
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