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Simplifying 2(2u + -2) + 8u = 5(u + 1) + -2u Reorder the terms: 2(-2 + 2u) + 8u = 5(u + 1) + -2u (-2 * 2 + 2u * 2) + 8u = 5(u + 1) + -2u (-4 + 4u) + 8u = 5(u + 1) + -2u Combine like terms: 4u + 8u = 12u -4 + 12u = 5(u + 1) + -2u Reorder the terms: -4 + 12u = 5(1 + u) + -2u -4 + 12u = (1 * 5 + u * 5) + -2u -4 + 12u = (5 + 5u) + -2u Combine like terms: 5u + -2u = 3u -4 + 12u = 5 + 3u Solving -4 + 12u = 5 + 3u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-3u' to each side of the equation. -4 + 12u + -3u = 5 + 3u + -3u Combine like terms: 12u + -3u = 9u -4 + 9u = 5 + 3u + -3u Combine like terms: 3u + -3u = 0 -4 + 9u = 5 + 0 -4 + 9u = 5 Add '4' to each side of the equation. -4 + 4 + 9u = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 9u = 5 + 4 9u = 5 + 4 Combine like terms: 5 + 4 = 9 9u = 9 Divide each side by '9'. u = 1 Simplifying u = 1
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