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Simplifying 10.2 = 7(1 + r) * 8 Reorder the terms for easier multiplication: 10.2 = 7 * 8(1 + r) Multiply 7 * 8 10.2 = 56(1 + r) 10.2 = (1 * 56 + r * 56) 10.2 = (56 + 56r) Solving 10.2 = 56 + 56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56r' to each side of the equation. 10.2 + -56r = 56 + 56r + -56r Combine like terms: 56r + -56r = 0 10.2 + -56r = 56 + 0 10.2 + -56r = 56 Add '-10.2' to each side of the equation. 10.2 + -10.2 + -56r = 56 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + -56r = 56 + -10.2 -56r = 56 + -10.2 Combine like terms: 56 + -10.2 = 45.8 -56r = 45.8 Divide each side by '-56'. r = -0.8178571429 Simplifying r = -0.8178571429
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