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Simplifying 2(u + -5) = 4u + 4 + -2(-5u + -2) Reorder the terms: 2(-5 + u) = 4u + 4 + -2(-5u + -2) (-5 * 2 + u * 2) = 4u + 4 + -2(-5u + -2) (-10 + 2u) = 4u + 4 + -2(-5u + -2) Reorder the terms: -10 + 2u = 4u + 4 + -2(-2 + -5u) -10 + 2u = 4u + 4 + (-2 * -2 + -5u * -2) -10 + 2u = 4u + 4 + (4 + 10u) Reorder the terms: -10 + 2u = 4 + 4 + 4u + 10u Combine like terms: 4 + 4 = 8 -10 + 2u = 8 + 4u + 10u Combine like terms: 4u + 10u = 14u -10 + 2u = 8 + 14u Solving -10 + 2u = 8 + 14u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-14u' to each side of the equation. -10 + 2u + -14u = 8 + 14u + -14u Combine like terms: 2u + -14u = -12u -10 + -12u = 8 + 14u + -14u Combine like terms: 14u + -14u = 0 -10 + -12u = 8 + 0 -10 + -12u = 8 Add '10' to each side of the equation. -10 + 10 + -12u = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -12u = 8 + 10 -12u = 8 + 10 Combine like terms: 8 + 10 = 18 -12u = 18 Divide each side by '-12'. u = -1.5 Simplifying u = -1.5
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