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Simplifying 12r + -8 + 12 + r = 43 Reorder the terms: -8 + 12 + 12r + r = 43 Combine like terms: -8 + 12 = 4 4 + 12r + r = 43 Combine like terms: 12r + r = 13r 4 + 13r = 43 Solving 4 + 13r = 43 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 13r = 43 + -4 Combine like terms: 4 + -4 = 0 0 + 13r = 43 + -4 13r = 43 + -4 Combine like terms: 43 + -4 = 39 13r = 39 Divide each side by '13'. r = 3 Simplifying r = 3
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