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Simplifying 5(u + -4) + -2 = -69(-5u + 4) + -94 Reorder the terms: 5(-4 + u) + -2 = -69(-5u + 4) + -94 (-4 * 5 + u * 5) + -2 = -69(-5u + 4) + -94 (-20 + 5u) + -2 = -69(-5u + 4) + -94 Reorder the terms: -20 + -2 + 5u = -69(-5u + 4) + -94 Combine like terms: -20 + -2 = -22 -22 + 5u = -69(-5u + 4) + -94 Reorder the terms: -22 + 5u = -69(4 + -5u) + -94 -22 + 5u = (4 * -69 + -5u * -69) + -94 -22 + 5u = (-276 + 345u) + -94 Reorder the terms: -22 + 5u = -276 + -94 + 345u Combine like terms: -276 + -94 = -370 -22 + 5u = -370 + 345u Solving -22 + 5u = -370 + 345u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-345u' to each side of the equation. -22 + 5u + -345u = -370 + 345u + -345u Combine like terms: 5u + -345u = -340u -22 + -340u = -370 + 345u + -345u Combine like terms: 345u + -345u = 0 -22 + -340u = -370 + 0 -22 + -340u = -370 Add '22' to each side of the equation. -22 + 22 + -340u = -370 + 22 Combine like terms: -22 + 22 = 0 0 + -340u = -370 + 22 -340u = -370 + 22 Combine like terms: -370 + 22 = -348 -340u = -348 Divide each side by '-340'. u = 1.023529412 Simplifying u = 1.023529412
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