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Simplifying -4(-5u + 3) + -2 = 2(u + -1) + -4 Reorder the terms: -4(3 + -5u) + -2 = 2(u + -1) + -4 (3 * -4 + -5u * -4) + -2 = 2(u + -1) + -4 (-12 + 20u) + -2 = 2(u + -1) + -4 Reorder the terms: -12 + -2 + 20u = 2(u + -1) + -4 Combine like terms: -12 + -2 = -14 -14 + 20u = 2(u + -1) + -4 Reorder the terms: -14 + 20u = 2(-1 + u) + -4 -14 + 20u = (-1 * 2 + u * 2) + -4 -14 + 20u = (-2 + 2u) + -4 Reorder the terms: -14 + 20u = -2 + -4 + 2u Combine like terms: -2 + -4 = -6 -14 + 20u = -6 + 2u Solving -14 + 20u = -6 + 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. -14 + 20u + -2u = -6 + 2u + -2u Combine like terms: 20u + -2u = 18u -14 + 18u = -6 + 2u + -2u Combine like terms: 2u + -2u = 0 -14 + 18u = -6 + 0 -14 + 18u = -6 Add '14' to each side of the equation. -14 + 14 + 18u = -6 + 14 Combine like terms: -14 + 14 = 0 0 + 18u = -6 + 14 18u = -6 + 14 Combine like terms: -6 + 14 = 8 18u = 8 Divide each side by '18'. u = 0.4444444444 Simplifying u = 0.4444444444
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