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Simplifying 2.2 + 2.3t + -4.6 = 0.3t + 0.1 + -3t Reorder the terms: 2.2 + -4.6 + 2.3t = 0.3t + 0.1 + -3t Combine like terms: 2.2 + -4.6 = -2.4 -2.4 + 2.3t = 0.3t + 0.1 + -3t Reorder the terms: -2.4 + 2.3t = 0.1 + 0.3t + -3t Combine like terms: 0.3t + -3t = -2.7t -2.4 + 2.3t = 0.1 + -2.7t Solving -2.4 + 2.3t = 0.1 + -2.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2.7t' to each side of the equation. -2.4 + 2.3t + 2.7t = 0.1 + -2.7t + 2.7t Combine like terms: 2.3t + 2.7t = 5t -2.4 + 5t = 0.1 + -2.7t + 2.7t Combine like terms: -2.7t + 2.7t = 0.0 -2.4 + 5t = 0.1 + 0.0 -2.4 + 5t = 0.1 Add '2.4' to each side of the equation. -2.4 + 2.4 + 5t = 0.1 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + 5t = 0.1 + 2.4 5t = 0.1 + 2.4 Combine like terms: 0.1 + 2.4 = 2.5 5t = 2.5 Divide each side by '5'. t = 0.5 Simplifying t = 0.5
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