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Simplifying 11 + 4r = 1 + 7r + 7 Reorder the terms: 11 + 4r = 1 + 7 + 7r Combine like terms: 1 + 7 = 8 11 + 4r = 8 + 7r Solving 11 + 4r = 8 + 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. 11 + 4r + -7r = 8 + 7r + -7r Combine like terms: 4r + -7r = -3r 11 + -3r = 8 + 7r + -7r Combine like terms: 7r + -7r = 0 11 + -3r = 8 + 0 11 + -3r = 8 Add '-11' to each side of the equation. 11 + -11 + -3r = 8 + -11 Combine like terms: 11 + -11 = 0 0 + -3r = 8 + -11 -3r = 8 + -11 Combine like terms: 8 + -11 = -3 -3r = -3 Divide each side by '-3'. r = 1 Simplifying r = 1
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