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Simplifying 7 + 4 = 3r + 6 + -2r Combine like terms: 7 + 4 = 11 11 = 3r + 6 + -2r Reorder the terms: 11 = 6 + 3r + -2r Combine like terms: 3r + -2r = 1r 11 = 6 + 1r Solving 11 = 6 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 11 + -1r = 6 + 1r + -1r Combine like terms: 1r + -1r = 0 11 + -1r = 6 + 0 11 + -1r = 6 Add '-11' to each side of the equation. 11 + -11 + -1r = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -1r = 6 + -11 -1r = 6 + -11 Combine like terms: 6 + -11 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5
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