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Simplifying 7r + -27 = 6 + 4r Reorder the terms: -27 + 7r = 6 + 4r Solving -27 + 7r = 6 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -27 + 7r + -4r = 6 + 4r + -4r Combine like terms: 7r + -4r = 3r -27 + 3r = 6 + 4r + -4r Combine like terms: 4r + -4r = 0 -27 + 3r = 6 + 0 -27 + 3r = 6 Add '27' to each side of the equation. -27 + 27 + 3r = 6 + 27 Combine like terms: -27 + 27 = 0 0 + 3r = 6 + 27 3r = 6 + 27 Combine like terms: 6 + 27 = 33 3r = 33 Divide each side by '3'. r = 11 Simplifying r = 11
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