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Simplifying -171 = -3(1 + 8r) -171 = (1 * -3 + 8r * -3) -171 = (-3 + -24r) Solving -171 = -3 + -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. -171 + 24r = -3 + -24r + 24r Combine like terms: -24r + 24r = 0 -171 + 24r = -3 + 0 -171 + 24r = -3 Add '171' to each side of the equation. -171 + 171 + 24r = -3 + 171 Combine like terms: -171 + 171 = 0 0 + 24r = -3 + 171 24r = -3 + 171 Combine like terms: -3 + 171 = 168 24r = 168 Divide each side by '24'. r = 7 Simplifying r = 7
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