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Simplifying 138 = 6(5r + -2) Reorder the terms: 138 = 6(-2 + 5r) 138 = (-2 * 6 + 5r * 6) 138 = (-12 + 30r) Solving 138 = -12 + 30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30r' to each side of the equation. 138 + -30r = -12 + 30r + -30r Combine like terms: 30r + -30r = 0 138 + -30r = -12 + 0 138 + -30r = -12 Add '-138' to each side of the equation. 138 + -138 + -30r = -12 + -138 Combine like terms: 138 + -138 = 0 0 + -30r = -12 + -138 -30r = -12 + -138 Combine like terms: -12 + -138 = -150 -30r = -150 Divide each side by '-30'. r = 5 Simplifying r = 5
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