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Simplifying 4(u + -2) = 8u + 8 + -2(-6u + -1) Reorder the terms: 4(-2 + u) = 8u + 8 + -2(-6u + -1) (-2 * 4 + u * 4) = 8u + 8 + -2(-6u + -1) (-8 + 4u) = 8u + 8 + -2(-6u + -1) Reorder the terms: -8 + 4u = 8u + 8 + -2(-1 + -6u) -8 + 4u = 8u + 8 + (-1 * -2 + -6u * -2) -8 + 4u = 8u + 8 + (2 + 12u) Reorder the terms: -8 + 4u = 8 + 2 + 8u + 12u Combine like terms: 8 + 2 = 10 -8 + 4u = 10 + 8u + 12u Combine like terms: 8u + 12u = 20u -8 + 4u = 10 + 20u Solving -8 + 4u = 10 + 20u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-20u' to each side of the equation. -8 + 4u + -20u = 10 + 20u + -20u Combine like terms: 4u + -20u = -16u -8 + -16u = 10 + 20u + -20u Combine like terms: 20u + -20u = 0 -8 + -16u = 10 + 0 -8 + -16u = 10 Add '8' to each side of the equation. -8 + 8 + -16u = 10 + 8 Combine like terms: -8 + 8 = 0 0 + -16u = 10 + 8 -16u = 10 + 8 Combine like terms: 10 + 8 = 18 -16u = 18 Divide each side by '-16'. u = -1.125 Simplifying u = -1.125
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