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Simplifying 6(r + 8) = 84 Reorder the terms: 6(8 + r) = 84 (8 * 6 + r * 6) = 84 (48 + 6r) = 84 Solving 48 + 6r = 84 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 6r = 84 + -48 Combine like terms: 48 + -48 = 0 0 + 6r = 84 + -48 6r = 84 + -48 Combine like terms: 84 + -48 = 36 6r = 36 Divide each side by '6'. r = 6 Simplifying r = 6
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