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Simplifying 6(u + -6) + -8 = -7(-3u + 6) + -7 Reorder the terms: 6(-6 + u) + -8 = -7(-3u + 6) + -7 (-6 * 6 + u * 6) + -8 = -7(-3u + 6) + -7 (-36 + 6u) + -8 = -7(-3u + 6) + -7 Reorder the terms: -36 + -8 + 6u = -7(-3u + 6) + -7 Combine like terms: -36 + -8 = -44 -44 + 6u = -7(-3u + 6) + -7 Reorder the terms: -44 + 6u = -7(6 + -3u) + -7 -44 + 6u = (6 * -7 + -3u * -7) + -7 -44 + 6u = (-42 + 21u) + -7 Reorder the terms: -44 + 6u = -42 + -7 + 21u Combine like terms: -42 + -7 = -49 -44 + 6u = -49 + 21u Solving -44 + 6u = -49 + 21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-21u' to each side of the equation. -44 + 6u + -21u = -49 + 21u + -21u Combine like terms: 6u + -21u = -15u -44 + -15u = -49 + 21u + -21u Combine like terms: 21u + -21u = 0 -44 + -15u = -49 + 0 -44 + -15u = -49 Add '44' to each side of the equation. -44 + 44 + -15u = -49 + 44 Combine like terms: -44 + 44 = 0 0 + -15u = -49 + 44 -15u = -49 + 44 Combine like terms: -49 + 44 = -5 -15u = -5 Divide each side by '-15'. u = 0.3333333333 Simplifying u = 0.3333333333
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