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Simplifying 2.8 + 3.4t + -3.6 = 0.4t + 1.2 + -7t Reorder the terms: 2.8 + -3.6 + 3.4t = 0.4t + 1.2 + -7t Combine like terms: 2.8 + -3.6 = -0.8 -0.8 + 3.4t = 0.4t + 1.2 + -7t Reorder the terms: -0.8 + 3.4t = 1.2 + 0.4t + -7t Combine like terms: 0.4t + -7t = -6.6t -0.8 + 3.4t = 1.2 + -6.6t Solving -0.8 + 3.4t = 1.2 + -6.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6.6t' to each side of the equation. -0.8 + 3.4t + 6.6t = 1.2 + -6.6t + 6.6t Combine like terms: 3.4t + 6.6t = 10t -0.8 + 10t = 1.2 + -6.6t + 6.6t Combine like terms: -6.6t + 6.6t = 0.0 -0.8 + 10t = 1.2 + 0.0 -0.8 + 10t = 1.2 Add '0.8' to each side of the equation. -0.8 + 0.8 + 10t = 1.2 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 10t = 1.2 + 0.8 10t = 1.2 + 0.8 Combine like terms: 1.2 + 0.8 = 2 10t = 2 Divide each side by '10'. t = 0.2 Simplifying t = 0.2
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