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Simplifying 43 + -4r = 3(1 + -9r) 43 + -4r = (1 * 3 + -9r * 3) 43 + -4r = (3 + -27r) Solving 43 + -4r = 3 + -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. 43 + -4r + 27r = 3 + -27r + 27r Combine like terms: -4r + 27r = 23r 43 + 23r = 3 + -27r + 27r Combine like terms: -27r + 27r = 0 43 + 23r = 3 + 0 43 + 23r = 3 Add '-43' to each side of the equation. 43 + -43 + 23r = 3 + -43 Combine like terms: 43 + -43 = 0 0 + 23r = 3 + -43 23r = 3 + -43 Combine like terms: 3 + -43 = -40 23r = -40 Divide each side by '23'. r = -1.739130435 Simplifying r = -1.739130435
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