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Simplifying r + 31 = -3(1 + -6r) Reorder the terms: 31 + r = -3(1 + -6r) 31 + r = (1 * -3 + -6r * -3) 31 + r = (-3 + 18r) Solving 31 + r = -3 + 18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-18r' to each side of the equation. 31 + r + -18r = -3 + 18r + -18r Combine like terms: r + -18r = -17r 31 + -17r = -3 + 18r + -18r Combine like terms: 18r + -18r = 0 31 + -17r = -3 + 0 31 + -17r = -3 Add '-31' to each side of the equation. 31 + -31 + -17r = -3 + -31 Combine like terms: 31 + -31 = 0 0 + -17r = -3 + -31 -17r = -3 + -31 Combine like terms: -3 + -31 = -34 -17r = -34 Divide each side by '-17'. r = 2 Simplifying r = 2
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