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Simplifying 0.06t + 0.09(t + 500) = 150 Reorder the terms: 0.06t + 0.09(500 + t) = 150 0.06t + (500 * 0.09 + t * 0.09) = 150 0.06t + (45 + 0.09t) = 150 Reorder the terms: 45 + 0.06t + 0.09t = 150 Combine like terms: 0.06t + 0.09t = 0.15t 45 + 0.15t = 150 Solving 45 + 0.15t = 150 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 0.15t = 150 + -45 Combine like terms: 45 + -45 = 0 0 + 0.15t = 150 + -45 0.15t = 150 + -45 Combine like terms: 150 + -45 = 105 0.15t = 105 Divide each side by '0.15'. t = 700 Simplifying t = 700
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