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Simplifying 174 = 6(5 + -4r) 174 = (5 * 6 + -4r * 6) 174 = (30 + -24r) Solving 174 = 30 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. 174 + 24r = 30 + -24r + 24r Combine like terms: -24r + 24r = 0 174 + 24r = 30 + 0 174 + 24r = 30 Add '-174' to each side of the equation. 174 + -174 + 24r = 30 + -174 Combine like terms: 174 + -174 = 0 0 + 24r = 30 + -174 24r = 30 + -174 Combine like terms: 30 + -174 = -144 24r = -144 Divide each side by '24'. r = -6 Simplifying r = -6
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