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Simplifying 7(7 + -3u) = 4(u + 3) (7 * 7 + -3u * 7) = 4(u + 3) (49 + -21u) = 4(u + 3) Reorder the terms: 49 + -21u = 4(3 + u) 49 + -21u = (3 * 4 + u * 4) 49 + -21u = (12 + 4u) Solving 49 + -21u = 12 + 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. 49 + -21u + -4u = 12 + 4u + -4u Combine like terms: -21u + -4u = -25u 49 + -25u = 12 + 4u + -4u Combine like terms: 4u + -4u = 0 49 + -25u = 12 + 0 49 + -25u = 12 Add '-49' to each side of the equation. 49 + -49 + -25u = 12 + -49 Combine like terms: 49 + -49 = 0 0 + -25u = 12 + -49 -25u = 12 + -49 Combine like terms: 12 + -49 = -37 -25u = -37 Divide each side by '-25'. u = 1.48 Simplifying u = 1.48
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