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Simplifying -6(r + 6) = -37 + -5r Reorder the terms: -6(6 + r) = -37 + -5r (6 * -6 + r * -6) = -37 + -5r (-36 + -6r) = -37 + -5r Solving -36 + -6r = -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. -36 + -6r + 5r = -37 + -5r + 5r Combine like terms: -6r + 5r = -1r -36 + -1r = -37 + -5r + 5r Combine like terms: -5r + 5r = 0 -36 + -1r = -37 + 0 -36 + -1r = -37 Add '36' to each side of the equation. -36 + 36 + -1r = -37 + 36 Combine like terms: -36 + 36 = 0 0 + -1r = -37 + 36 -1r = -37 + 36 Combine like terms: -37 + 36 = -1 -1r = -1 Divide each side by '-1'. r = 1 Simplifying r = 1
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