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Simplifying 2.7t + 0.5 = 1.7t + 6.5 Reorder the terms: 0.5 + 2.7t = 1.7t + 6.5 Reorder the terms: 0.5 + 2.7t = 6.5 + 1.7t Solving 0.5 + 2.7t = 6.5 + 1.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.7t' to each side of the equation. 0.5 + 2.7t + -1.7t = 6.5 + 1.7t + -1.7t Combine like terms: 2.7t + -1.7t = 1t 0.5 + 1t = 6.5 + 1.7t + -1.7t Combine like terms: 1.7t + -1.7t = 0.0 0.5 + 1t = 6.5 + 0.0 0.5 + 1t = 6.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1t = 6.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1t = 6.5 + -0.5 1t = 6.5 + -0.5 Combine like terms: 6.5 + -0.5 = 6 1t = 6 Divide each side by '1'. t = 6 Simplifying t = 6
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