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