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