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Simplifying 12r + 8 = 116 + -6r Reorder the terms: 8 + 12r = 116 + -6r Solving 8 + 12r = 116 + -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. 8 + 12r + 6r = 116 + -6r + 6r Combine like terms: 12r + 6r = 18r 8 + 18r = 116 + -6r + 6r Combine like terms: -6r + 6r = 0 8 + 18r = 116 + 0 8 + 18r = 116 Add '-8' to each side of the equation. 8 + -8 + 18r = 116 + -8 Combine like terms: 8 + -8 = 0 0 + 18r = 116 + -8 18r = 116 + -8 Combine like terms: 116 + -8 = 108 18r = 108 Divide each side by '18'. r = 6 Simplifying r = 6
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