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Simplifying 3 = 0.06t + 0.11(45 + -1t) 3 = 0.06t + (45 * 0.11 + -1t * 0.11) 3 = 0.06t + (4.95 + -0.11t) Reorder the terms: 3 = 4.95 + 0.06t + -0.11t Combine like terms: 0.06t + -0.11t = -0.05t 3 = 4.95 + -0.05t Solving 3 = 4.95 + -0.05t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.05t' to each side of the equation. 3 + 0.05t = 4.95 + -0.05t + 0.05t Combine like terms: -0.05t + 0.05t = 0.00 3 + 0.05t = 4.95 + 0.00 3 + 0.05t = 4.95 Add '-3' to each side of the equation. 3 + -3 + 0.05t = 4.95 + -3 Combine like terms: 3 + -3 = 0 0 + 0.05t = 4.95 + -3 0.05t = 4.95 + -3 Combine like terms: 4.95 + -3 = 1.95 0.05t = 1.95 Divide each side by '0.05'. t = 39 Simplifying t = 39
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