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Simplifying 3u + -33 = -5(u + 5) Reorder the terms: -33 + 3u = -5(u + 5) Reorder the terms: -33 + 3u = -5(5 + u) -33 + 3u = (5 * -5 + u * -5) -33 + 3u = (-25 + -5u) Solving -33 + 3u = -25 + -5u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '5u' to each side of the equation. -33 + 3u + 5u = -25 + -5u + 5u Combine like terms: 3u + 5u = 8u -33 + 8u = -25 + -5u + 5u Combine like terms: -5u + 5u = 0 -33 + 8u = -25 + 0 -33 + 8u = -25 Add '33' to each side of the equation. -33 + 33 + 8u = -25 + 33 Combine like terms: -33 + 33 = 0 0 + 8u = -25 + 33 8u = -25 + 33 Combine like terms: -25 + 33 = 8 8u = 8 Divide each side by '8'. u = 1 Simplifying u = 1
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