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Simplifying 4(u + -10) = 2(u + 10) Reorder the terms: 4(-10 + u) = 2(u + 10) (-10 * 4 + u * 4) = 2(u + 10) (-40 + 4u) = 2(u + 10) Reorder the terms: -40 + 4u = 2(10 + u) -40 + 4u = (10 * 2 + u * 2) -40 + 4u = (20 + 2u) Solving -40 + 4u = 20 + 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. -40 + 4u + -2u = 20 + 2u + -2u Combine like terms: 4u + -2u = 2u -40 + 2u = 20 + 2u + -2u Combine like terms: 2u + -2u = 0 -40 + 2u = 20 + 0 -40 + 2u = 20 Add '40' to each side of the equation. -40 + 40 + 2u = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 2u = 20 + 40 2u = 20 + 40 Combine like terms: 20 + 40 = 60 2u = 60 Divide each side by '2'. u = 30 Simplifying u = 30
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