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