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Simplifying 7u + -33 = 2(u + -4) Reorder the terms: -33 + 7u = 2(u + -4) Reorder the terms: -33 + 7u = 2(-4 + u) -33 + 7u = (-4 * 2 + u * 2) -33 + 7u = (-8 + 2u) Solving -33 + 7u = -8 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -33 + 7u + -2u = -8 + 2u + -2u Combine like terms: 7u + -2u = 5u -33 + 5u = -8 + 2u + -2u Combine like terms: 2u + -2u = 0 -33 + 5u = -8 + 0 -33 + 5u = -8 Add '33' to each side of the equation. -33 + 33 + 5u = -8 + 33 Combine like terms: -33 + 33 = 0 0 + 5u = -8 + 33 5u = -8 + 33 Combine like terms: -8 + 33 = 25 5u = 25 Divide each side by '5'. u = 5 Simplifying u = 5
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