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Simplifying 108 = 6(7r + -6) + -6r Reorder the terms: 108 = 6(-6 + 7r) + -6r 108 = (-6 * 6 + 7r * 6) + -6r 108 = (-36 + 42r) + -6r Combine like terms: 42r + -6r = 36r 108 = -36 + 36r Solving 108 = -36 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. 108 + -36r = -36 + 36r + -36r Combine like terms: 36r + -36r = 0 108 + -36r = -36 + 0 108 + -36r = -36 Add '-108' to each side of the equation. 108 + -108 + -36r = -36 + -108 Combine like terms: 108 + -108 = 0 0 + -36r = -36 + -108 -36r = -36 + -108 Combine like terms: -36 + -108 = -144 -36r = -144 Divide each side by '-36'. r = 4 Simplifying r = 4
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