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Simplifying 8u + -33 = -7(u + -6) Reorder the terms: -33 + 8u = -7(u + -6) Reorder the terms: -33 + 8u = -7(-6 + u) -33 + 8u = (-6 * -7 + u * -7) -33 + 8u = (42 + -7u) Solving -33 + 8u = 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 + 8u + 7u = 42 + -7u + 7u Combine like terms: 8u + 7u = 15u -33 + 15u = 42 + -7u + 7u Combine like terms: -7u + 7u = 0 -33 + 15u = 42 + 0 -33 + 15u = 42 Add '33' to each side of the equation. -33 + 33 + 15u = 42 + 33 Combine like terms: -33 + 33 = 0 0 + 15u = 42 + 33 15u = 42 + 33 Combine like terms: 42 + 33 = 75 15u = 75 Divide each side by '15'. u = 5 Simplifying u = 5
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