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Simplifying 6 + 2r + -2 = 9r + 10 + -6r Reorder the terms: 6 + -2 + 2r = 9r + 10 + -6r Combine like terms: 6 + -2 = 4 4 + 2r = 9r + 10 + -6r Reorder the terms: 4 + 2r = 10 + 9r + -6r Combine like terms: 9r + -6r = 3r 4 + 2r = 10 + 3r Solving 4 + 2r = 10 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 4 + 2r + -3r = 10 + 3r + -3r Combine like terms: 2r + -3r = -1r 4 + -1r = 10 + 3r + -3r Combine like terms: 3r + -3r = 0 4 + -1r = 10 + 0 4 + -1r = 10 Add '-4' to each side of the equation. 4 + -4 + -1r = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 10 + -4 -1r = 10 + -4 Combine like terms: 10 + -4 = 6 -1r = 6 Divide each side by '-1'. r = -6 Simplifying r = -6
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