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Simplifying 20r + 40 + -10r = 9 + -27r + -3 Reorder the terms: 40 + 20r + -10r = 9 + -27r + -3 Combine like terms: 20r + -10r = 10r 40 + 10r = 9 + -27r + -3 Reorder the terms: 40 + 10r = 9 + -3 + -27r Combine like terms: 9 + -3 = 6 40 + 10r = 6 + -27r Solving 40 + 10r = 6 + -27r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '27r' to each side of the equation. 40 + 10r + 27r = 6 + -27r + 27r Combine like terms: 10r + 27r = 37r 40 + 37r = 6 + -27r + 27r Combine like terms: -27r + 27r = 0 40 + 37r = 6 + 0 40 + 37r = 6 Add '-40' to each side of the equation. 40 + -40 + 37r = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 37r = 6 + -40 37r = 6 + -40 Combine like terms: 6 + -40 = -34 37r = -34 Divide each side by '37'. r = -0.9189189189 Simplifying r = -0.9189189189
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