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Simplifying 5(u + -4) + -2 = -2(-2u + 2) + -3u Reorder the terms: 5(-4 + u) + -2 = -2(-2u + 2) + -3u (-4 * 5 + u * 5) + -2 = -2(-2u + 2) + -3u (-20 + 5u) + -2 = -2(-2u + 2) + -3u Reorder the terms: -20 + -2 + 5u = -2(-2u + 2) + -3u Combine like terms: -20 + -2 = -22 -22 + 5u = -2(-2u + 2) + -3u Reorder the terms: -22 + 5u = -2(2 + -2u) + -3u -22 + 5u = (2 * -2 + -2u * -2) + -3u -22 + 5u = (-4 + 4u) + -3u Combine like terms: 4u + -3u = 1u -22 + 5u = -4 + 1u Solving -22 + 5u = -4 + 1u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1u' to each side of the equation. -22 + 5u + -1u = -4 + 1u + -1u Combine like terms: 5u + -1u = 4u -22 + 4u = -4 + 1u + -1u Combine like terms: 1u + -1u = 0 -22 + 4u = -4 + 0 -22 + 4u = -4 Add '22' to each side of the equation. -22 + 22 + 4u = -4 + 22 Combine like terms: -22 + 22 = 0 0 + 4u = -4 + 22 4u = -4 + 22 Combine like terms: -4 + 22 = 18 4u = 18 Divide each side by '4'. u = 4.5 Simplifying u = 4.5
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