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Simplifying 6420 = 6000(1 + r(2)) Reorder the terms for easier multiplication: 6420 = 6000(1 + 2r) 6420 = (1 * 6000 + 2r * 6000) 6420 = (6000 + 12000r) Solving 6420 = 6000 + 12000r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12000r' to each side of the equation. 6420 + -12000r = 6000 + 12000r + -12000r Combine like terms: 12000r + -12000r = 0 6420 + -12000r = 6000 + 0 6420 + -12000r = 6000 Add '-6420' to each side of the equation. 6420 + -6420 + -12000r = 6000 + -6420 Combine like terms: 6420 + -6420 = 0 0 + -12000r = 6000 + -6420 -12000r = 6000 + -6420 Combine like terms: 6000 + -6420 = -420 -12000r = -420 Divide each side by '-12000'. r = 0.035 Simplifying r = 0.035
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