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Simplifying -7u + -33 = 6(u + 1) Reorder the terms: -33 + -7u = 6(u + 1) Reorder the terms: -33 + -7u = 6(1 + u) -33 + -7u = (1 * 6 + u * 6) -33 + -7u = (6 + 6u) Solving -33 + -7u = 6 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -33 + -7u + -6u = 6 + 6u + -6u Combine like terms: -7u + -6u = -13u -33 + -13u = 6 + 6u + -6u Combine like terms: 6u + -6u = 0 -33 + -13u = 6 + 0 -33 + -13u = 6 Add '33' to each side of the equation. -33 + 33 + -13u = 6 + 33 Combine like terms: -33 + 33 = 0 0 + -13u = 6 + 33 -13u = 6 + 33 Combine like terms: 6 + 33 = 39 -13u = 39 Divide each side by '-13'. u = -3 Simplifying u = -3
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