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Simplifying 3(u + -4) = 7u + -40 Reorder the terms: 3(-4 + u) = 7u + -40 (-4 * 3 + u * 3) = 7u + -40 (-12 + 3u) = 7u + -40 Reorder the terms: -12 + 3u = -40 + 7u Solving -12 + 3u = -40 + 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. -12 + 3u + -7u = -40 + 7u + -7u Combine like terms: 3u + -7u = -4u -12 + -4u = -40 + 7u + -7u Combine like terms: 7u + -7u = 0 -12 + -4u = -40 + 0 -12 + -4u = -40 Add '12' to each side of the equation. -12 + 12 + -4u = -40 + 12 Combine like terms: -12 + 12 = 0 0 + -4u = -40 + 12 -4u = -40 + 12 Combine like terms: -40 + 12 = -28 -4u = -28 Divide each side by '-4'. u = 7 Simplifying u = 7
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