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Simplifying -0.4t + -1.1 = 4.5t + 3.8 Reorder the terms: -1.1 + -0.4t = 4.5t + 3.8 Reorder the terms: -1.1 + -0.4t = 3.8 + 4.5t Solving -1.1 + -0.4t = 3.8 + 4.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.5t' to each side of the equation. -1.1 + -0.4t + -4.5t = 3.8 + 4.5t + -4.5t Combine like terms: -0.4t + -4.5t = -4.9t -1.1 + -4.9t = 3.8 + 4.5t + -4.5t Combine like terms: 4.5t + -4.5t = 0.0 -1.1 + -4.9t = 3.8 + 0.0 -1.1 + -4.9t = 3.8 Add '1.1' to each side of the equation. -1.1 + 1.1 + -4.9t = 3.8 + 1.1 Combine like terms: -1.1 + 1.1 = 0.0 0.0 + -4.9t = 3.8 + 1.1 -4.9t = 3.8 + 1.1 Combine like terms: 3.8 + 1.1 = 4.9 -4.9t = 4.9 Divide each side by '-4.9'. t = -1 Simplifying t = -1
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