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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 = 46 23r = 46 Divide each side by '23'. r = 2 Simplifying r = 2
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