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Simplifying 6(r + 7) + 5 = 83 Reorder the terms: 6(7 + r) + 5 = 83 (7 * 6 + r * 6) + 5 = 83 (42 + 6r) + 5 = 83 Reorder the terms: 42 + 5 + 6r = 83 Combine like terms: 42 + 5 = 47 47 + 6r = 83 Solving 47 + 6r = 83 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 6r = 83 + -47 Combine like terms: 47 + -47 = 0 0 + 6r = 83 + -47 6r = 83 + -47 Combine like terms: 83 + -47 = 36 6r = 36 Divide each side by '6'. r = 6 Simplifying r = 6
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