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Simplifying 69 + 2r = 84 + -3r Solving 69 + 2r = 84 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 69 + 2r + 3r = 84 + -3r + 3r Combine like terms: 2r + 3r = 5r 69 + 5r = 84 + -3r + 3r Combine like terms: -3r + 3r = 0 69 + 5r = 84 + 0 69 + 5r = 84 Add '-69' to each side of the equation. 69 + -69 + 5r = 84 + -69 Combine like terms: 69 + -69 = 0 0 + 5r = 84 + -69 5r = 84 + -69 Combine like terms: 84 + -69 = 15 5r = 15 Divide each side by '5'. r = 3 Simplifying r = 3
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