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Simplifying 4.2t + -5.2 = 3.8t + 7 Reorder the terms: -5.2 + 4.2t = 3.8t + 7 Reorder the terms: -5.2 + 4.2t = 7 + 3.8t Solving -5.2 + 4.2t = 7 + 3.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.8t' to each side of the equation. -5.2 + 4.2t + -3.8t = 7 + 3.8t + -3.8t Combine like terms: 4.2t + -3.8t = 0.4t -5.2 + 0.4t = 7 + 3.8t + -3.8t Combine like terms: 3.8t + -3.8t = 0.0 -5.2 + 0.4t = 7 + 0.0 -5.2 + 0.4t = 7 Add '5.2' to each side of the equation. -5.2 + 5.2 + 0.4t = 7 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 0.4t = 7 + 5.2 0.4t = 7 + 5.2 Combine like terms: 7 + 5.2 = 12.2 0.4t = 12.2 Divide each side by '0.4'. t = 30.5 Simplifying t = 30.5
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