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Simplifying 3(u + -7) + -7 = -5(-3u + 6) + -6u Reorder the terms: 3(-7 + u) + -7 = -5(-3u + 6) + -6u (-7 * 3 + u * 3) + -7 = -5(-3u + 6) + -6u (-21 + 3u) + -7 = -5(-3u + 6) + -6u Reorder the terms: -21 + -7 + 3u = -5(-3u + 6) + -6u Combine like terms: -21 + -7 = -28 -28 + 3u = -5(-3u + 6) + -6u Reorder the terms: -28 + 3u = -5(6 + -3u) + -6u -28 + 3u = (6 * -5 + -3u * -5) + -6u -28 + 3u = (-30 + 15u) + -6u Combine like terms: 15u + -6u = 9u -28 + 3u = -30 + 9u Solving -28 + 3u = -30 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -28 + 3u + -9u = -30 + 9u + -9u Combine like terms: 3u + -9u = -6u -28 + -6u = -30 + 9u + -9u Combine like terms: 9u + -9u = 0 -28 + -6u = -30 + 0 -28 + -6u = -30 Add '28' to each side of the equation. -28 + 28 + -6u = -30 + 28 Combine like terms: -28 + 28 = 0 0 + -6u = -30 + 28 -6u = -30 + 28 Combine like terms: -30 + 28 = -2 -6u = -2 Divide each side by '-6'. u = 0.3333333333 Simplifying u = 0.3333333333
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