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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 = -55r 84 + -54r = 39 + -55r Solving 84 + -54r = 39 + -55r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '55r' to each side of the equation. 84 + -54r + 55r = 39 + -55r + 55r Combine like terms: -54r + 55r = 1r 84 + 1r = 39 + -55r + 55r Combine like terms: -55r + 55r = 0 84 + 1r = 39 + 0 84 + 1r = 39 Add '-84' to each side of the equation. 84 + -84 + 1r = 39 + -84 Combine like terms: 84 + -84 = 0 0 + 1r = 39 + -84 1r = 39 + -84 Combine like terms: 39 + -84 = -45 1r = -45 Divide each side by '1'. r = -45 Simplifying r = -45
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