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Simplifying r + -3 + 3r = 6 + 5r Reorder the terms: -3 + r + 3r = 6 + 5r Combine like terms: r + 3r = 4r -3 + 4r = 6 + 5r Solving -3 + 4r = 6 + 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. -3 + 4r + -5r = 6 + 5r + -5r Combine like terms: 4r + -5r = -1r -3 + -1r = 6 + 5r + -5r Combine like terms: 5r + -5r = 0 -3 + -1r = 6 + 0 -3 + -1r = 6 Add '3' to each side of the equation. -3 + 3 + -1r = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -1r = 6 + 3 -1r = 6 + 3 Combine like terms: 6 + 3 = 9 -1r = 9 Divide each side by '-1'. r = -9 Simplifying r = -9
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