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Simplifying -3.8t + 4 = 1.4t + -37 Reorder the terms: 4 + -3.8t = 1.4t + -37 Reorder the terms: 4 + -3.8t = -37 + 1.4t Solving 4 + -3.8t = -37 + 1.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.4t' to each side of the equation. 4 + -3.8t + -1.4t = -37 + 1.4t + -1.4t Combine like terms: -3.8t + -1.4t = -5.2t 4 + -5.2t = -37 + 1.4t + -1.4t Combine like terms: 1.4t + -1.4t = 0.0 4 + -5.2t = -37 + 0.0 4 + -5.2t = -37 Add '-4' to each side of the equation. 4 + -4 + -5.2t = -37 + -4 Combine like terms: 4 + -4 = 0 0 + -5.2t = -37 + -4 -5.2t = -37 + -4 Combine like terms: -37 + -4 = -41 -5.2t = -41 Divide each side by '-5.2'. t = 7.884615385 Simplifying t = 7.884615385
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