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Simplifying 6r + 5 = 12r + 7 Reorder the terms: 5 + 6r = 12r + 7 Reorder the terms: 5 + 6r = 7 + 12r Solving 5 + 6r = 7 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 5 + 6r + -12r = 7 + 12r + -12r Combine like terms: 6r + -12r = -6r 5 + -6r = 7 + 12r + -12r Combine like terms: 12r + -12r = 0 5 + -6r = 7 + 0 5 + -6r = 7 Add '-5' to each side of the equation. 5 + -5 + -6r = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -6r = 7 + -5 -6r = 7 + -5 Combine like terms: 7 + -5 = 2 -6r = 2 Divide each side by '-6'. r = -0.3333333333 Simplifying r = -0.3333333333
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