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Simplifying -2(u + 4) = -2 + 3(4u + 1) Reorder the terms: -2(4 + u) = -2 + 3(4u + 1) (4 * -2 + u * -2) = -2 + 3(4u + 1) (-8 + -2u) = -2 + 3(4u + 1) Reorder the terms: -8 + -2u = -2 + 3(1 + 4u) -8 + -2u = -2 + (1 * 3 + 4u * 3) -8 + -2u = -2 + (3 + 12u) Combine like terms: -2 + 3 = 1 -8 + -2u = 1 + 12u Solving -8 + -2u = 1 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -8 + -2u + -12u = 1 + 12u + -12u Combine like terms: -2u + -12u = -14u -8 + -14u = 1 + 12u + -12u Combine like terms: 12u + -12u = 0 -8 + -14u = 1 + 0 -8 + -14u = 1 Add '8' to each side of the equation. -8 + 8 + -14u = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -14u = 1 + 8 -14u = 1 + 8 Combine like terms: 1 + 8 = 9 -14u = 9 Divide each side by '-14'. u = -0.6428571429 Simplifying u = -0.6428571429
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