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Simplifying -7(2u + -1) + 6u = 1 + 2(4u + -4) Reorder the terms: -7(-1 + 2u) + 6u = 1 + 2(4u + -4) (-1 * -7 + 2u * -7) + 6u = 1 + 2(4u + -4) (7 + -14u) + 6u = 1 + 2(4u + -4) Combine like terms: -14u + 6u = -8u 7 + -8u = 1 + 2(4u + -4) Reorder the terms: 7 + -8u = 1 + 2(-4 + 4u) 7 + -8u = 1 + (-4 * 2 + 4u * 2) 7 + -8u = 1 + (-8 + 8u) Combine like terms: 1 + -8 = -7 7 + -8u = -7 + 8u Solving 7 + -8u = -7 + 8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-8u' to each side of the equation. 7 + -8u + -8u = -7 + 8u + -8u Combine like terms: -8u + -8u = -16u 7 + -16u = -7 + 8u + -8u Combine like terms: 8u + -8u = 0 7 + -16u = -7 + 0 7 + -16u = -7 Add '-7' to each side of the equation. 7 + -7 + -16u = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -16u = -7 + -7 -16u = -7 + -7 Combine like terms: -7 + -7 = -14 -16u = -14 Divide each side by '-16'. u = 0.875 Simplifying u = 0.875
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