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Simplifying 1822.50 = 1800.00(1 + 0.25r) 1822.50 = (1 * 1800.00 + 0.25r * 1800.00) 1822.50 = (1800 + 450r) Solving 1822.50 = 1800 + 450r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-450r' to each side of the equation. 1822.50 + -450r = 1800 + 450r + -450r Combine like terms: 450r + -450r = 0 1822.50 + -450r = 1800 + 0 1822.50 + -450r = 1800 Add '-1822.50' to each side of the equation. 1822.50 + -1822.50 + -450r = 1800 + -1822.50 Combine like terms: 1822.50 + -1822.50 = 0.00 0.00 + -450r = 1800 + -1822.50 -450r = 1800 + -1822.50 Combine like terms: 1800 + -1822.50 = -22.5 -450r = -22.5 Divide each side by '-450'. r = 0.05 Simplifying r = 0.05
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