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Simplifying 12r + -7 = 7r + 13 Reorder the terms: -7 + 12r = 7r + 13 Reorder the terms: -7 + 12r = 13 + 7r Solving -7 + 12r = 13 + 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. -7 + 12r + -7r = 13 + 7r + -7r Combine like terms: 12r + -7r = 5r -7 + 5r = 13 + 7r + -7r Combine like terms: 7r + -7r = 0 -7 + 5r = 13 + 0 -7 + 5r = 13 Add '7' to each side of the equation. -7 + 7 + 5r = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 5r = 13 + 7 5r = 13 + 7 Combine like terms: 13 + 7 = 20 5r = 20 Divide each side by '5'. r = 4 Simplifying r = 4
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