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Simplifying 3r + 6 + -5r = 4r Reorder the terms: 6 + 3r + -5r = 4r Combine like terms: 3r + -5r = -2r 6 + -2r = 4r Solving 6 + -2r = 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. 6 + -2r + -4r = 4r + -4r Combine like terms: -2r + -4r = -6r 6 + -6r = 4r + -4r Combine like terms: 4r + -4r = 0 6 + -6r = 0 Add '-6' to each side of the equation. 6 + -6 + -6r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6r = 0 + -6 -6r = 0 + -6 Combine like terms: 0 + -6 = -6 -6r = -6 Divide each side by '-6'. r = 1 Simplifying r = 1
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