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Simplifying 3r + 5(-1r + 2) = 4r + 6 Reorder the terms: 3r + 5(2 + -1r) = 4r + 6 3r + (2 * 5 + -1r * 5) = 4r + 6 3r + (10 + -5r) = 4r + 6 Reorder the terms: 10 + 3r + -5r = 4r + 6 Combine like terms: 3r + -5r = -2r 10 + -2r = 4r + 6 Reorder the terms: 10 + -2r = 6 + 4r Solving 10 + -2r = 6 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 10 + -2r + -4r = 6 + 4r + -4r Combine like terms: -2r + -4r = -6r 10 + -6r = 6 + 4r + -4r Combine like terms: 4r + -4r = 0 10 + -6r = 6 + 0 10 + -6r = 6 Add '-10' to each side of the equation. 10 + -10 + -6r = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -6r = 6 + -10 -6r = 6 + -10 Combine like terms: 6 + -10 = -4 -6r = -4 Divide each side by '-6'. r = 0.6666666667 Simplifying r = 0.6666666667
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