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Simplifying 120 = 500r * 6 Reorder the terms for easier multiplication: 120 = 500 * 6r Multiply 500 * 6 120 = 3000r Solving 120 = 3000r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3000r' to each side of the equation. 120 + -3000r = 3000r + -3000r Combine like terms: 3000r + -3000r = 0 120 + -3000r = 0 Add '-120' to each side of the equation. 120 + -120 + -3000r = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -3000r = 0 + -120 -3000r = 0 + -120 Combine like terms: 0 + -120 = -120 -3000r = -120 Divide each side by '-3000'. r = 0.04 Simplifying r = 0.04
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