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Simplifying 6(u + -14) + 2(u + -3) = 14 Reorder the terms: 6(-14 + u) + 2(u + -3) = 14 (-14 * 6 + u * 6) + 2(u + -3) = 14 (-84 + 6u) + 2(u + -3) = 14 Reorder the terms: -84 + 6u + 2(-3 + u) = 14 -84 + 6u + (-3 * 2 + u * 2) = 14 -84 + 6u + (-6 + 2u) = 14 Reorder the terms: -84 + -6 + 6u + 2u = 14 Combine like terms: -84 + -6 = -90 -90 + 6u + 2u = 14 Combine like terms: 6u + 2u = 8u -90 + 8u = 14 Solving -90 + 8u = 14 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 8u = 14 + 90 Combine like terms: -90 + 90 = 0 0 + 8u = 14 + 90 8u = 14 + 90 Combine like terms: 14 + 90 = 104 8u = 104 Divide each side by '8'. u = 13 Simplifying u = 13
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