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Simplifying -4(-6u + 1) + -3u = 3(u + -1) + -7 Reorder the terms: -4(1 + -6u) + -3u = 3(u + -1) + -7 (1 * -4 + -6u * -4) + -3u = 3(u + -1) + -7 (-4 + 24u) + -3u = 3(u + -1) + -7 Combine like terms: 24u + -3u = 21u -4 + 21u = 3(u + -1) + -7 Reorder the terms: -4 + 21u = 3(-1 + u) + -7 -4 + 21u = (-1 * 3 + u * 3) + -7 -4 + 21u = (-3 + 3u) + -7 Reorder the terms: -4 + 21u = -3 + -7 + 3u Combine like terms: -3 + -7 = -10 -4 + 21u = -10 + 3u Solving -4 + 21u = -10 + 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. -4 + 21u + -3u = -10 + 3u + -3u Combine like terms: 21u + -3u = 18u -4 + 18u = -10 + 3u + -3u Combine like terms: 3u + -3u = 0 -4 + 18u = -10 + 0 -4 + 18u = -10 Add '4' to each side of the equation. -4 + 4 + 18u = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 18u = -10 + 4 18u = -10 + 4 Combine like terms: -10 + 4 = -6 18u = -6 Divide each side by '18'. u = -0.3333333333 Simplifying u = -0.3333333333
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