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Simplifying 5 + -4r = 9 + 2r Solving 5 + -4r = 9 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 5 + -4r + -2r = 9 + 2r + -2r Combine like terms: -4r + -2r = -6r 5 + -6r = 9 + 2r + -2r Combine like terms: 2r + -2r = 0 5 + -6r = 9 + 0 5 + -6r = 9 Add '-5' to each side of the equation. 5 + -5 + -6r = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -6r = 9 + -5 -6r = 9 + -5 Combine like terms: 9 + -5 = 4 -6r = 4 Divide each side by '-6'. r = -0.6666666667 Simplifying r = -0.6666666667
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