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