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Simplifying -5u + -37 = -8(u + 2) Reorder the terms: -37 + -5u = -8(u + 2) Reorder the terms: -37 + -5u = -8(2 + u) -37 + -5u = (2 * -8 + u * -8) -37 + -5u = (-16 + -8u) Solving -37 + -5u = -16 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. -37 + -5u + 8u = -16 + -8u + 8u Combine like terms: -5u + 8u = 3u -37 + 3u = -16 + -8u + 8u Combine like terms: -8u + 8u = 0 -37 + 3u = -16 + 0 -37 + 3u = -16 Add '37' to each side of the equation. -37 + 37 + 3u = -16 + 37 Combine like terms: -37 + 37 = 0 0 + 3u = -16 + 37 3u = -16 + 37 Combine like terms: -16 + 37 = 21 3u = 21 Divide each side by '3'. u = 7 Simplifying u = 7
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