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Simplifying 10000 = 6500(1 + 0.051t) 10000 = (1 * 6500 + 0.051t * 6500) 10000 = (6500 + 331.5t) Solving 10000 = 6500 + 331.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-331.5t' to each side of the equation. 10000 + -331.5t = 6500 + 331.5t + -331.5t Combine like terms: 331.5t + -331.5t = 0.0 10000 + -331.5t = 6500 + 0.0 10000 + -331.5t = 6500 Add '-10000' to each side of the equation. 10000 + -10000 + -331.5t = 6500 + -10000 Combine like terms: 10000 + -10000 = 0 0 + -331.5t = 6500 + -10000 -331.5t = 6500 + -10000 Combine like terms: 6500 + -10000 = -3500 -331.5t = -3500 Divide each side by '-331.5'. t = 10.55806938 Simplifying t = 10.55806938
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