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Simplifying 1.3 + 2.9t + -4 = 0.9t + 0.3 + -8t Reorder the terms: 1.3 + -4 + 2.9t = 0.9t + 0.3 + -8t Combine like terms: 1.3 + -4 = -2.7 -2.7 + 2.9t = 0.9t + 0.3 + -8t Reorder the terms: -2.7 + 2.9t = 0.3 + 0.9t + -8t Combine like terms: 0.9t + -8t = -7.1t -2.7 + 2.9t = 0.3 + -7.1t Solving -2.7 + 2.9t = 0.3 + -7.1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7.1t' to each side of the equation. -2.7 + 2.9t + 7.1t = 0.3 + -7.1t + 7.1t Combine like terms: 2.9t + 7.1t = 10t -2.7 + 10t = 0.3 + -7.1t + 7.1t Combine like terms: -7.1t + 7.1t = 0.0 -2.7 + 10t = 0.3 + 0.0 -2.7 + 10t = 0.3 Add '2.7' to each side of the equation. -2.7 + 2.7 + 10t = 0.3 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 10t = 0.3 + 2.7 10t = 0.3 + 2.7 Combine like terms: 0.3 + 2.7 = 3 10t = 3 Divide each side by '10'. t = 0.3 Simplifying t = 0.3
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