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Simplifying 4932 = 4800[1 + r(0.5)] Reorder the terms for easier multiplication: 4932 = 4800[1 + 0.5r] 4932 = [1 * 4800 + 0.5r * 4800] 4932 = [4800 + 2400r] Solving 4932 = 4800 + 2400r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2400r' to each side of the equation. 4932 + -2400r = 4800 + 2400r + -2400r Combine like terms: 2400r + -2400r = 0 4932 + -2400r = 4800 + 0 4932 + -2400r = 4800 Add '-4932' to each side of the equation. 4932 + -4932 + -2400r = 4800 + -4932 Combine like terms: 4932 + -4932 = 0 0 + -2400r = 4800 + -4932 -2400r = 4800 + -4932 Combine like terms: 4800 + -4932 = -132 -2400r = -132 Divide each side by '-2400'. r = 0.055 Simplifying r = 0.055
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