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Simplifying -6r + 8(6 + 3r) = 174 -6r + (6 * 8 + 3r * 8) = 174 -6r + (48 + 24r) = 174 Reorder the terms: 48 + -6r + 24r = 174 Combine like terms: -6r + 24r = 18r 48 + 18r = 174 Solving 48 + 18r = 174 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 18r = 174 + -48 Combine like terms: 48 + -48 = 0 0 + 18r = 174 + -48 18r = 174 + -48 Combine like terms: 174 + -48 = 126 18r = 126 Divide each side by '18'. r = 7 Simplifying r = 7
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