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Simplifying 4(u + -1) = 6u + 2 + -2(-6u + -5) Reorder the terms: 4(-1 + u) = 6u + 2 + -2(-6u + -5) (-1 * 4 + u * 4) = 6u + 2 + -2(-6u + -5) (-4 + 4u) = 6u + 2 + -2(-6u + -5) Reorder the terms: -4 + 4u = 6u + 2 + -2(-5 + -6u) -4 + 4u = 6u + 2 + (-5 * -2 + -6u * -2) -4 + 4u = 6u + 2 + (10 + 12u) Reorder the terms: -4 + 4u = 2 + 10 + 6u + 12u Combine like terms: 2 + 10 = 12 -4 + 4u = 12 + 6u + 12u Combine like terms: 6u + 12u = 18u -4 + 4u = 12 + 18u Solving -4 + 4u = 12 + 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. -4 + 4u + -18u = 12 + 18u + -18u Combine like terms: 4u + -18u = -14u -4 + -14u = 12 + 18u + -18u Combine like terms: 18u + -18u = 0 -4 + -14u = 12 + 0 -4 + -14u = 12 Add '4' to each side of the equation. -4 + 4 + -14u = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -14u = 12 + 4 -14u = 12 + 4 Combine like terms: 12 + 4 = 16 -14u = 16 Divide each side by '-14'. u = -1.142857143 Simplifying u = -1.142857143
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