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Simplifying r + -6 + -2r = 6 + -7r Reorder the terms: -6 + r + -2r = 6 + -7r Combine like terms: r + -2r = -1r -6 + -1r = 6 + -7r Solving -6 + -1r = 6 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. -6 + -1r + 7r = 6 + -7r + 7r Combine like terms: -1r + 7r = 6r -6 + 6r = 6 + -7r + 7r Combine like terms: -7r + 7r = 0 -6 + 6r = 6 + 0 -6 + 6r = 6 Add '6' to each side of the equation. -6 + 6 + 6r = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 6r = 6 + 6 6r = 6 + 6 Combine like terms: 6 + 6 = 12 6r = 12 Divide each side by '6'. r = 2 Simplifying r = 2
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