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Simplifying 6(u + -8) = -9u + -33 Reorder the terms: 6(-8 + u) = -9u + -33 (-8 * 6 + u * 6) = -9u + -33 (-48 + 6u) = -9u + -33 Reorder the terms: -48 + 6u = -33 + -9u Solving -48 + 6u = -33 + -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. -48 + 6u + 9u = -33 + -9u + 9u Combine like terms: 6u + 9u = 15u -48 + 15u = -33 + -9u + 9u Combine like terms: -9u + 9u = 0 -48 + 15u = -33 + 0 -48 + 15u = -33 Add '48' to each side of the equation. -48 + 48 + 15u = -33 + 48 Combine like terms: -48 + 48 = 0 0 + 15u = -33 + 48 15u = -33 + 48 Combine like terms: -33 + 48 = 15 15u = 15 Divide each side by '15'. u = 1 Simplifying u = 1
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