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Simplifying -2 + 7r = 5r + 10 + -12 Reorder the terms: -2 + 7r = 10 + -12 + 5r Combine like terms: 10 + -12 = -2 -2 + 7r = -2 + 5r Add '2' to each side of the equation. -2 + 2 + 7r = -2 + 2 + 5r Combine like terms: -2 + 2 = 0 0 + 7r = -2 + 2 + 5r 7r = -2 + 2 + 5r Combine like terms: -2 + 2 = 0 7r = 0 + 5r 7r = 5r Solving 7r = 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. 7r + -5r = 5r + -5r Combine like terms: 7r + -5r = 2r 2r = 5r + -5r Combine like terms: 5r + -5r = 0 2r = 0 Divide each side by '2'. r = 0 Simplifying r = 0
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