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Simplifying 6r + 7 = 31 + -6r Reorder the terms: 7 + 6r = 31 + -6r Solving 7 + 6r = 31 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 7 + 6r + 6r = 31 + -6r + 6r Combine like terms: 6r + 6r = 12r 7 + 12r = 31 + -6r + 6r Combine like terms: -6r + 6r = 0 7 + 12r = 31 + 0 7 + 12r = 31 Add '-7' to each side of the equation. 7 + -7 + 12r = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 12r = 31 + -7 12r = 31 + -7 Combine like terms: 31 + -7 = 24 12r = 24 Divide each side by '12'. r = 2 Simplifying r = 2
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