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Simplifying 6(5 + 6r) + 6r = -38 + 8r (5 * 6 + 6r * 6) + 6r = -38 + 8r (30 + 36r) + 6r = -38 + 8r Combine like terms: 36r + 6r = 42r 30 + 42r = -38 + 8r Solving 30 + 42r = -38 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 30 + 42r + -8r = -38 + 8r + -8r Combine like terms: 42r + -8r = 34r 30 + 34r = -38 + 8r + -8r Combine like terms: 8r + -8r = 0 30 + 34r = -38 + 0 30 + 34r = -38 Add '-30' to each side of the equation. 30 + -30 + 34r = -38 + -30 Combine like terms: 30 + -30 = 0 0 + 34r = -38 + -30 34r = -38 + -30 Combine like terms: -38 + -30 = -68 34r = -68 Divide each side by '34'. r = -2 Simplifying r = -2
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