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Simplifying 6(14 + -9r) = 123r + 39 + 68r (14 * 6 + -9r * 6) = 123r + 39 + 68r (84 + -54r) = 123r + 39 + 68r Reorder the terms: 84 + -54r = 39 + 123r + 68r Combine like terms: 123r + 68r = 191r 84 + -54r = 39 + 191r Solving 84 + -54r = 39 + 191r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-191r' to each side of the equation. 84 + -54r + -191r = 39 + 191r + -191r Combine like terms: -54r + -191r = -245r 84 + -245r = 39 + 191r + -191r Combine like terms: 191r + -191r = 0 84 + -245r = 39 + 0 84 + -245r = 39 Add '-84' to each side of the equation. 84 + -84 + -245r = 39 + -84 Combine like terms: 84 + -84 = 0 0 + -245r = 39 + -84 -245r = 39 + -84 Combine like terms: 39 + -84 = -45 -245r = -45 Divide each side by '-245'. r = 0.1836734694 Simplifying r = 0.1836734694
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