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Simplifying -43 + -4 = 3(1 + -9r) Combine like terms: -43 + -4 = -47 -47 = 3(1 + -9r) -47 = (1 * 3 + -9r * 3) -47 = (3 + -27r) Solving -47 = 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. -47 + 27r = 3 + -27r + 27r Combine like terms: -27r + 27r = 0 -47 + 27r = 3 + 0 -47 + 27r = 3 Add '47' to each side of the equation. -47 + 47 + 27r = 3 + 47 Combine like terms: -47 + 47 = 0 0 + 27r = 3 + 47 27r = 3 + 47 Combine like terms: 3 + 47 = 50 27r = 50 Divide each side by '27'. r = 1.851851852 Simplifying r = 1.851851852
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