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Simplifying 6u + -34 = -8(u + 6) Reorder the terms: -34 + 6u = -8(u + 6) Reorder the terms: -34 + 6u = -8(6 + u) -34 + 6u = (6 * -8 + u * -8) -34 + 6u = (-48 + -8u) Solving -34 + 6u = -48 + -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. -34 + 6u + 8u = -48 + -8u + 8u Combine like terms: 6u + 8u = 14u -34 + 14u = -48 + -8u + 8u Combine like terms: -8u + 8u = 0 -34 + 14u = -48 + 0 -34 + 14u = -48 Add '34' to each side of the equation. -34 + 34 + 14u = -48 + 34 Combine like terms: -34 + 34 = 0 0 + 14u = -48 + 34 14u = -48 + 34 Combine like terms: -48 + 34 = -14 14u = -14 Divide each side by '14'. u = -1 Simplifying u = -1
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