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Simplifying 4(u + -2) = 8u + 2 + -2(-5u + -3) Reorder the terms: 4(-2 + u) = 8u + 2 + -2(-5u + -3) (-2 * 4 + u * 4) = 8u + 2 + -2(-5u + -3) (-8 + 4u) = 8u + 2 + -2(-5u + -3) Reorder the terms: -8 + 4u = 8u + 2 + -2(-3 + -5u) -8 + 4u = 8u + 2 + (-3 * -2 + -5u * -2) -8 + 4u = 8u + 2 + (6 + 10u) Reorder the terms: -8 + 4u = 2 + 6 + 8u + 10u Combine like terms: 2 + 6 = 8 -8 + 4u = 8 + 8u + 10u Combine like terms: 8u + 10u = 18u -8 + 4u = 8 + 18u Solving -8 + 4u = 8 + 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 = 8 + 18u + -18u Combine like terms: 4u + -18u = -14u -8 + -14u = 8 + 18u + -18u Combine like terms: 18u + -18u = 0 -8 + -14u = 8 + 0 -8 + -14u = 8 Add '8' to each side of the equation. -8 + 8 + -14u = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -14u = 8 + 8 -14u = 8 + 8 Combine like terms: 8 + 8 = 16 -14u = 16 Divide each side by '-14'. u = -1.142857143 Simplifying u = -1.142857143
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