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