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Simplifying 6r + -5 = 7r + 7 + -2r Reorder the terms: -5 + 6r = 7r + 7 + -2r Reorder the terms: -5 + 6r = 7 + 7r + -2r Combine like terms: 7r + -2r = 5r -5 + 6r = 7 + 5r Solving -5 + 6r = 7 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -5 + 6r + -5r = 7 + 5r + -5r Combine like terms: 6r + -5r = 1r -5 + 1r = 7 + 5r + -5r Combine like terms: 5r + -5r = 0 -5 + 1r = 7 + 0 -5 + 1r = 7 Add '5' to each side of the equation. -5 + 5 + 1r = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 1r = 7 + 5 1r = 7 + 5 Combine like terms: 7 + 5 = 12 1r = 12 Divide each side by '1'. r = 12 Simplifying r = 12
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