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Simplifying 7u + -33 = 9(u + -5) Reorder the terms: -33 + 7u = 9(u + -5) Reorder the terms: -33 + 7u = 9(-5 + u) -33 + 7u = (-5 * 9 + u * 9) -33 + 7u = (-45 + 9u) Solving -33 + 7u = -45 + 9u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-9u' to each side of the equation. -33 + 7u + -9u = -45 + 9u + -9u Combine like terms: 7u + -9u = -2u -33 + -2u = -45 + 9u + -9u Combine like terms: 9u + -9u = 0 -33 + -2u = -45 + 0 -33 + -2u = -45 Add '33' to each side of the equation. -33 + 33 + -2u = -45 + 33 Combine like terms: -33 + 33 = 0 0 + -2u = -45 + 33 -2u = -45 + 33 Combine like terms: -45 + 33 = -12 -2u = -12 Divide each side by '-2'. u = 6 Simplifying u = 6
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