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