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Simplifying -37 + 5r = 6[1 + 8r] -37 + 5r = [1 * 6 + 8r * 6] -37 + 5r = [6 + 48r] Solving -37 + 5r = 6 + 48r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48r' to each side of the equation. -37 + 5r + -48r = 6 + 48r + -48r Combine like terms: 5r + -48r = -43r -37 + -43r = 6 + 48r + -48r Combine like terms: 48r + -48r = 0 -37 + -43r = 6 + 0 -37 + -43r = 6 Add '37' to each side of the equation. -37 + 37 + -43r = 6 + 37 Combine like terms: -37 + 37 = 0 0 + -43r = 6 + 37 -43r = 6 + 37 Combine like terms: 6 + 37 = 43 -43r = 43 Divide each side by '-43'. r = -1 Simplifying r = -1
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