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Simplifying 8(1 + 6r) = -37 + 3r (1 * 8 + 6r * 8) = -37 + 3r (8 + 48r) = -37 + 3r Solving 8 + 48r = -37 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 8 + 48r + -3r = -37 + 3r + -3r Combine like terms: 48r + -3r = 45r 8 + 45r = -37 + 3r + -3r Combine like terms: 3r + -3r = 0 8 + 45r = -37 + 0 8 + 45r = -37 Add '-8' to each side of the equation. 8 + -8 + 45r = -37 + -8 Combine like terms: 8 + -8 = 0 0 + 45r = -37 + -8 45r = -37 + -8 Combine like terms: -37 + -8 = -45 45r = -45 Divide each side by '45'. r = -1 Simplifying r = -1
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