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Simplifying 4.4 + 3.9t + -10.9 = 0.9t + 1.5 + -7t Reorder the terms: 4.4 + -10.9 + 3.9t = 0.9t + 1.5 + -7t Combine like terms: 4.4 + -10.9 = -6.5 -6.5 + 3.9t = 0.9t + 1.5 + -7t Reorder the terms: -6.5 + 3.9t = 1.5 + 0.9t + -7t Combine like terms: 0.9t + -7t = -6.1t -6.5 + 3.9t = 1.5 + -6.1t Solving -6.5 + 3.9t = 1.5 + -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. -6.5 + 3.9t + 6.1t = 1.5 + -6.1t + 6.1t Combine like terms: 3.9t + 6.1t = 10t -6.5 + 10t = 1.5 + -6.1t + 6.1t Combine like terms: -6.1t + 6.1t = 0.0 -6.5 + 10t = 1.5 + 0.0 -6.5 + 10t = 1.5 Add '6.5' to each side of the equation. -6.5 + 6.5 + 10t = 1.5 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 10t = 1.5 + 6.5 10t = 1.5 + 6.5 Combine like terms: 1.5 + 6.5 = 8 10t = 8 Divide each side by '10'. t = 0.8 Simplifying t = 0.8
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