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Simplifying 1 + 3.9t + -1.2 = 0.9t + 0.8 + -7t Reorder the terms: 1 + -1.2 + 3.9t = 0.9t + 0.8 + -7t Combine like terms: 1 + -1.2 = -0.2 -0.2 + 3.9t = 0.9t + 0.8 + -7t Reorder the terms: -0.2 + 3.9t = 0.8 + 0.9t + -7t Combine like terms: 0.9t + -7t = -6.1t -0.2 + 3.9t = 0.8 + -6.1t Solving -0.2 + 3.9t = 0.8 + -6.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.1t' to each side of the equation. -0.2 + 3.9t + 6.1t = 0.8 + -6.1t + 6.1t Combine like terms: 3.9t + 6.1t = 10t -0.2 + 10t = 0.8 + -6.1t + 6.1t Combine like terms: -6.1t + 6.1t = 0.0 -0.2 + 10t = 0.8 + 0.0 -0.2 + 10t = 0.8 Add '0.2' to each side of the equation. -0.2 + 0.2 + 10t = 0.8 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 10t = 0.8 + 0.2 10t = 0.8 + 0.2 Combine like terms: 0.8 + 0.2 = 1 10t = 1 Divide each side by '10'. t = 0.1 Simplifying t = 0.1
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