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Simplifying -43 + -43 = 3(1 + -9r) Combine like terms: -43 + -43 = -86 -86 = 3(1 + -9r) -86 = (1 * 3 + -9r * 3) -86 = (3 + -27r) Solving -86 = 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. -86 + 27r = 3 + -27r + 27r Combine like terms: -27r + 27r = 0 -86 + 27r = 3 + 0 -86 + 27r = 3 Add '86' to each side of the equation. -86 + 86 + 27r = 3 + 86 Combine like terms: -86 + 86 = 0 0 + 27r = 3 + 86 27r = 3 + 86 Combine like terms: 3 + 86 = 89 27r = 89 Divide each side by '27'. r = 3.296296296 Simplifying r = 3.296296296
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