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Simplifying 6u + 37 = -5(u + 8) Reorder the terms: 37 + 6u = -5(u + 8) Reorder the terms: 37 + 6u = -5(8 + u) 37 + 6u = (8 * -5 + u * -5) 37 + 6u = (-40 + -5u) Solving 37 + 6u = -40 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. 37 + 6u + 5u = -40 + -5u + 5u Combine like terms: 6u + 5u = 11u 37 + 11u = -40 + -5u + 5u Combine like terms: -5u + 5u = 0 37 + 11u = -40 + 0 37 + 11u = -40 Add '-37' to each side of the equation. 37 + -37 + 11u = -40 + -37 Combine like terms: 37 + -37 = 0 0 + 11u = -40 + -37 11u = -40 + -37 Combine like terms: -40 + -37 = -77 11u = -77 Divide each side by '11'. u = -7 Simplifying u = -7
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