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Simplifying -6(1 + -6r) = 5r + -37 (1 * -6 + -6r * -6) = 5r + -37 (-6 + 36r) = 5r + -37 Reorder the terms: -6 + 36r = -37 + 5r Solving -6 + 36r = -37 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -6 + 36r + -5r = -37 + 5r + -5r Combine like terms: 36r + -5r = 31r -6 + 31r = -37 + 5r + -5r Combine like terms: 5r + -5r = 0 -6 + 31r = -37 + 0 -6 + 31r = -37 Add '6' to each side of the equation. -6 + 6 + 31r = -37 + 6 Combine like terms: -6 + 6 = 0 0 + 31r = -37 + 6 31r = -37 + 6 Combine like terms: -37 + 6 = -31 31r = -31 Divide each side by '31'. r = -1 Simplifying r = -1
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