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Simplifying 3(u + 2) + -8U = -34 Reorder the terms: 3(2 + u) + -8U = -34 (2 * 3 + u * 3) + -8U = -34 (6 + 3u) + -8U = -34 Reorder the terms: 6 + -8U + 3u = -34 Solving 6 + -8U + 3u = -34 Solving for variable 'U'. Move all terms containing U to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -8U + -6 + 3u = -34 + -6 Reorder the terms: 6 + -6 + -8U + 3u = -34 + -6 Combine like terms: 6 + -6 = 0 0 + -8U + 3u = -34 + -6 -8U + 3u = -34 + -6 Combine like terms: -34 + -6 = -40 -8U + 3u = -40 Add '-3u' to each side of the equation. -8U + 3u + -3u = -40 + -3u Combine like terms: 3u + -3u = 0 -8U + 0 = -40 + -3u -8U = -40 + -3u Divide each side by '-8'. U = 5 + 0.375u Simplifying U = 5 + 0.375u
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