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Simplifying 8 + 2r + -1 = 9r + 10 + -6r Reorder the terms: 8 + -1 + 2r = 9r + 10 + -6r Combine like terms: 8 + -1 = 7 7 + 2r = 9r + 10 + -6r Reorder the terms: 7 + 2r = 10 + 9r + -6r Combine like terms: 9r + -6r = 3r 7 + 2r = 10 + 3r Solving 7 + 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. 7 + 2r + -3r = 10 + 3r + -3r Combine like terms: 2r + -3r = -1r 7 + -1r = 10 + 3r + -3r Combine like terms: 3r + -3r = 0 7 + -1r = 10 + 0 7 + -1r = 10 Add '-7' to each side of the equation. 7 + -7 + -1r = 10 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 10 + -7 -1r = 10 + -7 Combine like terms: 10 + -7 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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