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Simplifying -174 = -3(-8r + 2) Reorder the terms: -174 = -3(2 + -8r) -174 = (2 * -3 + -8r * -3) -174 = (-6 + 24r) Solving -174 = -6 + 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 = -6 + 24r + -24r Combine like terms: 24r + -24r = 0 -174 + -24r = -6 + 0 -174 + -24r = -6 Add '174' to each side of the equation. -174 + 174 + -24r = -6 + 174 Combine like terms: -174 + 174 = 0 0 + -24r = -6 + 174 -24r = -6 + 174 Combine like terms: -6 + 174 = 168 -24r = 168 Divide each side by '-24'. r = -7 Simplifying r = -7
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