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Simplifying -5(u + 8) = 2u + -47 Reorder the terms: -5(8 + u) = 2u + -47 (8 * -5 + u * -5) = 2u + -47 (-40 + -5u) = 2u + -47 Reorder the terms: -40 + -5u = -47 + 2u Solving -40 + -5u = -47 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -40 + -5u + -2u = -47 + 2u + -2u Combine like terms: -5u + -2u = -7u -40 + -7u = -47 + 2u + -2u Combine like terms: 2u + -2u = 0 -40 + -7u = -47 + 0 -40 + -7u = -47 Add '40' to each side of the equation. -40 + 40 + -7u = -47 + 40 Combine like terms: -40 + 40 = 0 0 + -7u = -47 + 40 -7u = -47 + 40 Combine like terms: -47 + 40 = -7 -7u = -7 Divide each side by '-7'. u = 1 Simplifying u = 1
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