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Simplifying 6(u + 1) + -9 = 4(4 + -1) + 2u Reorder the terms: 6(1 + u) + -9 = 4(4 + -1) + 2u (1 * 6 + u * 6) + -9 = 4(4 + -1) + 2u (6 + 6u) + -9 = 4(4 + -1) + 2u Reorder the terms: 6 + -9 + 6u = 4(4 + -1) + 2u Combine like terms: 6 + -9 = -3 -3 + 6u = 4(4 + -1) + 2u Combine like terms: 4 + -1 = 3 -3 + 6u = 4(3) + 2u Multiply 4 * 3 -3 + 6u = 12 + 2u Solving -3 + 6u = 12 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -3 + 6u + -2u = 12 + 2u + -2u Combine like terms: 6u + -2u = 4u -3 + 4u = 12 + 2u + -2u Combine like terms: 2u + -2u = 0 -3 + 4u = 12 + 0 -3 + 4u = 12 Add '3' to each side of the equation. -3 + 3 + 4u = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 4u = 12 + 3 4u = 12 + 3 Combine like terms: 12 + 3 = 15 4u = 15 Divide each side by '4'. u = 3.75 Simplifying u = 3.75
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