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Simplifying 7r + 4 = 1 + -2r + 7r + -3 Reorder the terms: 4 + 7r = 1 + -2r + 7r + -3 Reorder the terms: 4 + 7r = 1 + -3 + -2r + 7r Combine like terms: 1 + -3 = -2 4 + 7r = -2 + -2r + 7r Combine like terms: -2r + 7r = 5r 4 + 7r = -2 + 5r Solving 4 + 7r = -2 + 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. 4 + 7r + -5r = -2 + 5r + -5r Combine like terms: 7r + -5r = 2r 4 + 2r = -2 + 5r + -5r Combine like terms: 5r + -5r = 0 4 + 2r = -2 + 0 4 + 2r = -2 Add '-4' to each side of the equation. 4 + -4 + 2r = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 2r = -2 + -4 2r = -2 + -4 Combine like terms: -2 + -4 = -6 2r = -6 Divide each side by '2'. r = -3 Simplifying r = -3
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