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Simplifying 13 + -7(4 + -2u) = 6u + -12 13 + (4 * -7 + -2u * -7) = 6u + -12 13 + (-28 + 14u) = 6u + -12 Combine like terms: 13 + -28 = -15 -15 + 14u = 6u + -12 Reorder the terms: -15 + 14u = -12 + 6u Solving -15 + 14u = -12 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -15 + 14u + -6u = -12 + 6u + -6u Combine like terms: 14u + -6u = 8u -15 + 8u = -12 + 6u + -6u Combine like terms: 6u + -6u = 0 -15 + 8u = -12 + 0 -15 + 8u = -12 Add '15' to each side of the equation. -15 + 15 + 8u = -12 + 15 Combine like terms: -15 + 15 = 0 0 + 8u = -12 + 15 8u = -12 + 15 Combine like terms: -12 + 15 = 3 8u = 3 Divide each side by '8'. u = 0.375 Simplifying u = 0.375
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