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Simplifying 0.5t + 0.12(t + 1) = 5.7 Reorder the terms: 0.5t + 0.12(1 + t) = 5.7 0.5t + (1 * 0.12 + t * 0.12) = 5.7 0.5t + (0.12 + 0.12t) = 5.7 Reorder the terms: 0.12 + 0.5t + 0.12t = 5.7 Combine like terms: 0.5t + 0.12t = 0.62t 0.12 + 0.62t = 5.7 Solving 0.12 + 0.62t = 5.7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.12' to each side of the equation. 0.12 + -0.12 + 0.62t = 5.7 + -0.12 Combine like terms: 0.12 + -0.12 = 0.00 0.00 + 0.62t = 5.7 + -0.12 0.62t = 5.7 + -0.12 Combine like terms: 5.7 + -0.12 = 5.58 0.62t = 5.58 Divide each side by '0.62'. t = 9 Simplifying t = 9
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