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Simplifying 6(u + -2) + 2(u + -53) = 2 Reorder the terms: 6(-2 + u) + 2(u + -53) = 2 (-2 * 6 + u * 6) + 2(u + -53) = 2 (-12 + 6u) + 2(u + -53) = 2 Reorder the terms: -12 + 6u + 2(-53 + u) = 2 -12 + 6u + (-53 * 2 + u * 2) = 2 -12 + 6u + (-106 + 2u) = 2 Reorder the terms: -12 + -106 + 6u + 2u = 2 Combine like terms: -12 + -106 = -118 -118 + 6u + 2u = 2 Combine like terms: 6u + 2u = 8u -118 + 8u = 2 Solving -118 + 8u = 2 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '118' to each side of the equation. -118 + 118 + 8u = 2 + 118 Combine like terms: -118 + 118 = 0 0 + 8u = 2 + 118 8u = 2 + 118 Combine like terms: 2 + 118 = 120 8u = 120 Divide each side by '8'. u = 15 Simplifying u = 15
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