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Simplifying 0.8t + 40 = 1.1t + 10 Reorder the terms: 40 + 0.8t = 1.1t + 10 Reorder the terms: 40 + 0.8t = 10 + 1.1t Solving 40 + 0.8t = 10 + 1.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.1t' to each side of the equation. 40 + 0.8t + -1.1t = 10 + 1.1t + -1.1t Combine like terms: 0.8t + -1.1t = -0.3t 40 + -0.3t = 10 + 1.1t + -1.1t Combine like terms: 1.1t + -1.1t = 0.0 40 + -0.3t = 10 + 0.0 40 + -0.3t = 10 Add '-40' to each side of the equation. 40 + -40 + -0.3t = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -0.3t = 10 + -40 -0.3t = 10 + -40 Combine like terms: 10 + -40 = -30 -0.3t = -30 Divide each side by '-0.3'. t = 100 Simplifying t = 100
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