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Simplifying 4u + -33 = 7(u + -6) Reorder the terms: -33 + 4u = 7(u + -6) Reorder the terms: -33 + 4u = 7(-6 + u) -33 + 4u = (-6 * 7 + u * 7) -33 + 4u = (-42 + 7u) Solving -33 + 4u = -42 + 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. -33 + 4u + -7u = -42 + 7u + -7u Combine like terms: 4u + -7u = -3u -33 + -3u = -42 + 7u + -7u Combine like terms: 7u + -7u = 0 -33 + -3u = -42 + 0 -33 + -3u = -42 Add '33' to each side of the equation. -33 + 33 + -3u = -42 + 33 Combine like terms: -33 + 33 = 0 0 + -3u = -42 + 33 -3u = -42 + 33 Combine like terms: -42 + 33 = -9 -3u = -9 Divide each side by '-3'. u = 3 Simplifying u = 3
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