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Simplifying 13 = 7r + -6 + -2 Reorder the terms: 13 = -6 + -2 + 7r Combine like terms: -6 + -2 = -8 13 = -8 + 7r Solving 13 = -8 + 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. 13 + -7r = -8 + 7r + -7r Combine like terms: 7r + -7r = 0 13 + -7r = -8 + 0 13 + -7r = -8 Add '-13' to each side of the equation. 13 + -13 + -7r = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -7r = -8 + -13 -7r = -8 + -13 Combine like terms: -8 + -13 = -21 -7r = -21 Divide each side by '-7'. r = 3 Simplifying r = 3
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