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Simplifying 7 + 7r = 2 + 1 + 4r + 7 Reorder the terms: 7 + 7r = 2 + 1 + 7 + 4r Combine like terms: 2 + 1 = 3 7 + 7r = 3 + 7 + 4r Combine like terms: 3 + 7 = 10 7 + 7r = 10 + 4r Solving 7 + 7r = 10 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 7 + 7r + -4r = 10 + 4r + -4r Combine like terms: 7r + -4r = 3r 7 + 3r = 10 + 4r + -4r Combine like terms: 4r + -4r = 0 7 + 3r = 10 + 0 7 + 3r = 10 Add '-7' to each side of the equation. 7 + -7 + 3r = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 3r = 10 + -7 3r = 10 + -7 Combine like terms: 10 + -7 = 3 3r = 3 Divide each side by '3'. r = 1 Simplifying r = 1
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