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Simplifying -4(-6u + 7) + -3u = 3(u + -5) + -1 Reorder the terms: -4(7 + -6u) + -3u = 3(u + -5) + -1 (7 * -4 + -6u * -4) + -3u = 3(u + -5) + -1 (-28 + 24u) + -3u = 3(u + -5) + -1 Combine like terms: 24u + -3u = 21u -28 + 21u = 3(u + -5) + -1 Reorder the terms: -28 + 21u = 3(-5 + u) + -1 -28 + 21u = (-5 * 3 + u * 3) + -1 -28 + 21u = (-15 + 3u) + -1 Reorder the terms: -28 + 21u = -15 + -1 + 3u Combine like terms: -15 + -1 = -16 -28 + 21u = -16 + 3u Solving -28 + 21u = -16 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -28 + 21u + -3u = -16 + 3u + -3u Combine like terms: 21u + -3u = 18u -28 + 18u = -16 + 3u + -3u Combine like terms: 3u + -3u = 0 -28 + 18u = -16 + 0 -28 + 18u = -16 Add '28' to each side of the equation. -28 + 28 + 18u = -16 + 28 Combine like terms: -28 + 28 = 0 0 + 18u = -16 + 28 18u = -16 + 28 Combine like terms: -16 + 28 = 12 18u = 12 Divide each side by '18'. u = 0.6666666667 Simplifying u = 0.6666666667
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