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Simplifying 6(14 + -9r) = 0.123r + 39 + 68r (14 * 6 + -9r * 6) = 0.123r + 39 + 68r (84 + -54r) = 0.123r + 39 + 68r Reorder the terms: 84 + -54r = 39 + 0.123r + 68r Combine like terms: 0.123r + 68r = 68.123r 84 + -54r = 39 + 68.123r Solving 84 + -54r = 39 + 68.123r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-68.123r' to each side of the equation. 84 + -54r + -68.123r = 39 + 68.123r + -68.123r Combine like terms: -54r + -68.123r = -122.123r 84 + -122.123r = 39 + 68.123r + -68.123r Combine like terms: 68.123r + -68.123r = 0.000 84 + -122.123r = 39 + 0.000 84 + -122.123r = 39 Add '-84' to each side of the equation. 84 + -84 + -122.123r = 39 + -84 Combine like terms: 84 + -84 = 0 0 + -122.123r = 39 + -84 -122.123r = 39 + -84 Combine like terms: 39 + -84 = -45 -122.123r = -45 Divide each side by '-122.123'. r = 0.3684809577 Simplifying r = 0.3684809577
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