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Simplifying -7(-4u + 3) + -7u = 3(u + -7) + -8 Reorder the terms: -7(3 + -4u) + -7u = 3(u + -7) + -8 (3 * -7 + -4u * -7) + -7u = 3(u + -7) + -8 (-21 + 28u) + -7u = 3(u + -7) + -8 Combine like terms: 28u + -7u = 21u -21 + 21u = 3(u + -7) + -8 Reorder the terms: -21 + 21u = 3(-7 + u) + -8 -21 + 21u = (-7 * 3 + u * 3) + -8 -21 + 21u = (-21 + 3u) + -8 Reorder the terms: -21 + 21u = -21 + -8 + 3u Combine like terms: -21 + -8 = -29 -21 + 21u = -29 + 3u Solving -21 + 21u = -29 + 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. -21 + 21u + -3u = -29 + 3u + -3u Combine like terms: 21u + -3u = 18u -21 + 18u = -29 + 3u + -3u Combine like terms: 3u + -3u = 0 -21 + 18u = -29 + 0 -21 + 18u = -29 Add '21' to each side of the equation. -21 + 21 + 18u = -29 + 21 Combine like terms: -21 + 21 = 0 0 + 18u = -29 + 21 18u = -29 + 21 Combine like terms: -29 + 21 = -8 18u = -8 Divide each side by '18'. u = -0.4444444444 Simplifying u = -0.4444444444
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