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Simplifying 4t + 4.5 = 3.6t + -1.9 + -0.4t Reorder the terms: 4.5 + 4t = 3.6t + -1.9 + -0.4t Reorder the terms: 4.5 + 4t = -1.9 + 3.6t + -0.4t Combine like terms: 3.6t + -0.4t = 3.2t 4.5 + 4t = -1.9 + 3.2t Solving 4.5 + 4t = -1.9 + 3.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.2t' to each side of the equation. 4.5 + 4t + -3.2t = -1.9 + 3.2t + -3.2t Combine like terms: 4t + -3.2t = 0.8t 4.5 + 0.8t = -1.9 + 3.2t + -3.2t Combine like terms: 3.2t + -3.2t = 0.0 4.5 + 0.8t = -1.9 + 0.0 4.5 + 0.8t = -1.9 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.8t = -1.9 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.8t = -1.9 + -4.5 0.8t = -1.9 + -4.5 Combine like terms: -1.9 + -4.5 = -6.4 0.8t = -6.4 Divide each side by '0.8'. t = -8 Simplifying t = -8
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