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Simplifying -7(-3u + 3) + -3u = 4(u + -2) + -1 Reorder the terms: -7(3 + -3u) + -3u = 4(u + -2) + -1 (3 * -7 + -3u * -7) + -3u = 4(u + -2) + -1 (-21 + 21u) + -3u = 4(u + -2) + -1 Combine like terms: 21u + -3u = 18u -21 + 18u = 4(u + -2) + -1 Reorder the terms: -21 + 18u = 4(-2 + u) + -1 -21 + 18u = (-2 * 4 + u * 4) + -1 -21 + 18u = (-8 + 4u) + -1 Reorder the terms: -21 + 18u = -8 + -1 + 4u Combine like terms: -8 + -1 = -9 -21 + 18u = -9 + 4u Solving -21 + 18u = -9 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -21 + 18u + -4u = -9 + 4u + -4u Combine like terms: 18u + -4u = 14u -21 + 14u = -9 + 4u + -4u Combine like terms: 4u + -4u = 0 -21 + 14u = -9 + 0 -21 + 14u = -9 Add '21' to each side of the equation. -21 + 21 + 14u = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 14u = -9 + 21 14u = -9 + 21 Combine like terms: -9 + 21 = 12 14u = 12 Divide each side by '14'. u = 0.8571428571 Simplifying u = 0.8571428571
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