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Simplifying 3u + -47 = -2(u + 6) Reorder the terms: -47 + 3u = -2(u + 6) Reorder the terms: -47 + 3u = -2(6 + u) -47 + 3u = (6 * -2 + u * -2) -47 + 3u = (-12 + -2u) Solving -47 + 3u = -12 + -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. -47 + 3u + 2u = -12 + -2u + 2u Combine like terms: 3u + 2u = 5u -47 + 5u = -12 + -2u + 2u Combine like terms: -2u + 2u = 0 -47 + 5u = -12 + 0 -47 + 5u = -12 Add '47' to each side of the equation. -47 + 47 + 5u = -12 + 47 Combine like terms: -47 + 47 = 0 0 + 5u = -12 + 47 5u = -12 + 47 Combine like terms: -12 + 47 = 35 5u = 35 Divide each side by '5'. u = 7 Simplifying u = 7
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