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Simplifying -5(u + 2) = -4(7u + -1) + 7u Reorder the terms: -5(2 + u) = -4(7u + -1) + 7u (2 * -5 + u * -5) = -4(7u + -1) + 7u (-10 + -5u) = -4(7u + -1) + 7u Reorder the terms: -10 + -5u = -4(-1 + 7u) + 7u -10 + -5u = (-1 * -4 + 7u * -4) + 7u -10 + -5u = (4 + -28u) + 7u Combine like terms: -28u + 7u = -21u -10 + -5u = 4 + -21u Solving -10 + -5u = 4 + -21u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '21u' to each side of the equation. -10 + -5u + 21u = 4 + -21u + 21u Combine like terms: -5u + 21u = 16u -10 + 16u = 4 + -21u + 21u Combine like terms: -21u + 21u = 0 -10 + 16u = 4 + 0 -10 + 16u = 4 Add '10' to each side of the equation. -10 + 10 + 16u = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 16u = 4 + 10 16u = 4 + 10 Combine like terms: 4 + 10 = 14 16u = 14 Divide each side by '16'. u = 0.875 Simplifying u = 0.875
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