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Simplifying 7 + 2r + -6 = 8r + 1 + -5r Reorder the terms: 7 + -6 + 2r = 8r + 1 + -5r Combine like terms: 7 + -6 = 1 1 + 2r = 8r + 1 + -5r Reorder the terms: 1 + 2r = 1 + 8r + -5r Combine like terms: 8r + -5r = 3r 1 + 2r = 1 + 3r Add '-1' to each side of the equation. 1 + -1 + 2r = 1 + -1 + 3r Combine like terms: 1 + -1 = 0 0 + 2r = 1 + -1 + 3r 2r = 1 + -1 + 3r Combine like terms: 1 + -1 = 0 2r = 0 + 3r 2r = 3r Solving 2r = 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. 2r + -3r = 3r + -3r Combine like terms: 2r + -3r = -1r -1r = 3r + -3r Combine like terms: 3r + -3r = 0 -1r = 0 Divide each side by '-1'. r = 0 Simplifying r = 0
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