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Simplifying 4u + -14 = 6(u + -5) Reorder the terms: -14 + 4u = 6(u + -5) Reorder the terms: -14 + 4u = 6(-5 + u) -14 + 4u = (-5 * 6 + u * 6) -14 + 4u = (-30 + 6u) Solving -14 + 4u = -30 + 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. -14 + 4u + -6u = -30 + 6u + -6u Combine like terms: 4u + -6u = -2u -14 + -2u = -30 + 6u + -6u Combine like terms: 6u + -6u = 0 -14 + -2u = -30 + 0 -14 + -2u = -30 Add '14' to each side of the equation. -14 + 14 + -2u = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -2u = -30 + 14 -2u = -30 + 14 Combine like terms: -30 + 14 = -16 -2u = -16 Divide each side by '-2'. u = 8 Simplifying u = 8
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