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Simplifying -174 = 6(-4r + 3) Reorder the terms: -174 = 6(3 + -4r) -174 = (3 * 6 + -4r * 6) -174 = (18 + -24r) Solving -174 = 18 + -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 = 18 + -24r + 24r Combine like terms: -24r + 24r = 0 -174 + 24r = 18 + 0 -174 + 24r = 18 Add '174' to each side of the equation. -174 + 174 + 24r = 18 + 174 Combine like terms: -174 + 174 = 0 0 + 24r = 18 + 174 24r = 18 + 174 Combine like terms: 18 + 174 = 192 24r = 192 Divide each side by '24'. r = 8 Simplifying r = 8
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