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Simplifying 3(u + -2) = 7u + 14 Reorder the terms: 3(-2 + u) = 7u + 14 (-2 * 3 + u * 3) = 7u + 14 (-6 + 3u) = 7u + 14 Reorder the terms: -6 + 3u = 14 + 7u Solving -6 + 3u = 14 + 7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-7u' to each side of the equation. -6 + 3u + -7u = 14 + 7u + -7u Combine like terms: 3u + -7u = -4u -6 + -4u = 14 + 7u + -7u Combine like terms: 7u + -7u = 0 -6 + -4u = 14 + 0 -6 + -4u = 14 Add '6' to each side of the equation. -6 + 6 + -4u = 14 + 6 Combine like terms: -6 + 6 = 0 0 + -4u = 14 + 6 -4u = 14 + 6 Combine like terms: 14 + 6 = 20 -4u = 20 Divide each side by '-4'. u = -5 Simplifying u = -5
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