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Simplifying 7r + 2 = 5r + -4 Reorder the terms: 2 + 7r = 5r + -4 Reorder the terms: 2 + 7r = -4 + 5r Solving 2 + 7r = -4 + 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. 2 + 7r + -5r = -4 + 5r + -5r Combine like terms: 7r + -5r = 2r 2 + 2r = -4 + 5r + -5r Combine like terms: 5r + -5r = 0 2 + 2r = -4 + 0 2 + 2r = -4 Add '-2' to each side of the equation. 2 + -2 + 2r = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 2r = -4 + -2 2r = -4 + -2 Combine like terms: -4 + -2 = -6 2r = -6 Divide each side by '2'. r = -3 Simplifying r = -3
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