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Simplifying 3.5 + 3.9t + -9.1 = 0.9t + 1.4 + -7t Reorder the terms: 3.5 + -9.1 + 3.9t = 0.9t + 1.4 + -7t Combine like terms: 3.5 + -9.1 = -5.6 -5.6 + 3.9t = 0.9t + 1.4 + -7t Reorder the terms: -5.6 + 3.9t = 1.4 + 0.9t + -7t Combine like terms: 0.9t + -7t = -6.1t -5.6 + 3.9t = 1.4 + -6.1t Solving -5.6 + 3.9t = 1.4 + -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. -5.6 + 3.9t + 6.1t = 1.4 + -6.1t + 6.1t Combine like terms: 3.9t + 6.1t = 10t -5.6 + 10t = 1.4 + -6.1t + 6.1t Combine like terms: -6.1t + 6.1t = 0.0 -5.6 + 10t = 1.4 + 0.0 -5.6 + 10t = 1.4 Add '5.6' to each side of the equation. -5.6 + 5.6 + 10t = 1.4 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 10t = 1.4 + 5.6 10t = 1.4 + 5.6 Combine like terms: 1.4 + 5.6 = 7 10t = 7 Divide each side by '10'. t = 0.7 Simplifying t = 0.7
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