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Simplifying 4789.75 = 4600(1 + 0.25r) 4789.75 = (1 * 4600 + 0.25r * 4600) 4789.75 = (4600 + 1150r) Solving 4789.75 = 4600 + 1150r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1150r' to each side of the equation. 4789.75 + -1150r = 4600 + 1150r + -1150r Combine like terms: 1150r + -1150r = 0 4789.75 + -1150r = 4600 + 0 4789.75 + -1150r = 4600 Add '-4789.75' to each side of the equation. 4789.75 + -4789.75 + -1150r = 4600 + -4789.75 Combine like terms: 4789.75 + -4789.75 = 0.00 0.00 + -1150r = 4600 + -4789.75 -1150r = 4600 + -4789.75 Combine like terms: 4600 + -4789.75 = -189.75 -1150r = -189.75 Divide each side by '-1150'. r = 0.165 Simplifying r = 0.165
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