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Simplifying -7(2u + -2) + 6u = 4(u + 7) Reorder the terms: -7(-2 + 2u) + 6u = 4(u + 7) (-2 * -7 + 2u * -7) + 6u = 4(u + 7) (14 + -14u) + 6u = 4(u + 7) Combine like terms: -14u + 6u = -8u 14 + -8u = 4(u + 7) Reorder the terms: 14 + -8u = 4(7 + u) 14 + -8u = (7 * 4 + u * 4) 14 + -8u = (28 + 4u) Solving 14 + -8u = 28 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. 14 + -8u + -4u = 28 + 4u + -4u Combine like terms: -8u + -4u = -12u 14 + -12u = 28 + 4u + -4u Combine like terms: 4u + -4u = 0 14 + -12u = 28 + 0 14 + -12u = 28 Add '-14' to each side of the equation. 14 + -14 + -12u = 28 + -14 Combine like terms: 14 + -14 = 0 0 + -12u = 28 + -14 -12u = 28 + -14 Combine like terms: 28 + -14 = 14 -12u = 14 Divide each side by '-12'. u = -1.166666667 Simplifying u = -1.166666667
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