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Simplifying 21 = 6r + 5 + -7 Reorder the terms: 21 = 5 + -7 + 6r Combine like terms: 5 + -7 = -2 21 = -2 + 6r Solving 21 = -2 + 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. 21 + -6r = -2 + 6r + -6r Combine like terms: 6r + -6r = 0 21 + -6r = -2 + 0 21 + -6r = -2 Add '-21' to each side of the equation. 21 + -21 + -6r = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -6r = -2 + -21 -6r = -2 + -21 Combine like terms: -2 + -21 = -23 -6r = -23 Divide each side by '-6'. r = 3.833333333 Simplifying r = 3.833333333
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