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Simplifying 43 = 6r + -11 Reorder the terms: 43 = -11 + 6r Solving 43 = -11 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 43 + -6r = -11 + 6r + -6r Combine like terms: 6r + -6r = 0 43 + -6r = -11 + 0 43 + -6r = -11 Add '-43' to each side of the equation. 43 + -43 + -6r = -11 + -43 Combine like terms: 43 + -43 = 0 0 + -6r = -11 + -43 -6r = -11 + -43 Combine like terms: -11 + -43 = -54 -6r = -54 Divide each side by '-6'. r = 9 Simplifying r = 9
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