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Simplifying 4(u + -3) + -6u = 2(u + 6) Reorder the terms: 4(-3 + u) + -6u = 2(u + 6) (-3 * 4 + u * 4) + -6u = 2(u + 6) (-12 + 4u) + -6u = 2(u + 6) Combine like terms: 4u + -6u = -2u -12 + -2u = 2(u + 6) Reorder the terms: -12 + -2u = 2(6 + u) -12 + -2u = (6 * 2 + u * 2) -12 + -2u = (12 + 2u) Solving -12 + -2u = 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. -12 + -2u + -2u = 12 + 2u + -2u Combine like terms: -2u + -2u = -4u -12 + -4u = 12 + 2u + -2u Combine like terms: 2u + -2u = 0 -12 + -4u = 12 + 0 -12 + -4u = 12 Add '12' to each side of the equation. -12 + 12 + -4u = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -4u = 12 + 12 -4u = 12 + 12 Combine like terms: 12 + 12 = 24 -4u = 24 Divide each side by '-4'. u = -6 Simplifying u = -6
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