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Simplifying 6(6 + -1r) = 37 + -5r (6 * 6 + -1r * 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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