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Simplifying 4r + 5 + -6r = 5r + 8 Reorder the terms: 5 + 4r + -6r = 5r + 8 Combine like terms: 4r + -6r = -2r 5 + -2r = 5r + 8 Reorder the terms: 5 + -2r = 8 + 5r Solving 5 + -2r = 8 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 5 + -2r + -5r = 8 + 5r + -5r Combine like terms: -2r + -5r = -7r 5 + -7r = 8 + 5r + -5r Combine like terms: 5r + -5r = 0 5 + -7r = 8 + 0 5 + -7r = 8 Add '-5' to each side of the equation. 5 + -5 + -7r = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -7r = 8 + -5 -7r = 8 + -5 Combine like terms: 8 + -5 = 3 -7r = 3 Divide each side by '-7'. r = -0.4285714286 Simplifying r = -0.4285714286
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