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Simplifying u + 0.6666u + -1.5 = 0.8333(u + -1.25) Reorder the terms: -1.5 + u + 0.6666u = 0.8333(u + -1.25) Combine like terms: u + 0.6666u = 1.6666u -1.5 + 1.6666u = 0.8333(u + -1.25) Reorder the terms: -1.5 + 1.6666u = 0.8333(-1.25 + u) -1.5 + 1.6666u = (-1.25 * 0.8333 + u * 0.8333) -1.5 + 1.6666u = (-1.041625 + 0.8333u) Solving -1.5 + 1.6666u = -1.041625 + 0.8333u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-0.8333u' to each side of the equation. -1.5 + 1.6666u + -0.8333u = -1.041625 + 0.8333u + -0.8333u Combine like terms: 1.6666u + -0.8333u = 0.8333u -1.5 + 0.8333u = -1.041625 + 0.8333u + -0.8333u Combine like terms: 0.8333u + -0.8333u = 0.0000 -1.5 + 0.8333u = -1.041625 + 0.0000 -1.5 + 0.8333u = -1.041625 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.8333u = -1.041625 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.8333u = -1.041625 + 1.5 0.8333u = -1.041625 + 1.5 Combine like terms: -1.041625 + 1.5 = 0.458375 0.8333u = 0.458375 Divide each side by '0.8333'. u = 0.5500720029 Simplifying u = 0.5500720029
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