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Simplifying 0.5t + 3.6 = 4.2 + -1.5t Reorder the terms: 3.6 + 0.5t = 4.2 + -1.5t Solving 3.6 + 0.5t = 4.2 + -1.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.5t' to each side of the equation. 3.6 + 0.5t + 1.5t = 4.2 + -1.5t + 1.5t Combine like terms: 0.5t + 1.5t = 2t 3.6 + 2t = 4.2 + -1.5t + 1.5t Combine like terms: -1.5t + 1.5t = 0.0 3.6 + 2t = 4.2 + 0.0 3.6 + 2t = 4.2 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 2t = 4.2 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 2t = 4.2 + -3.6 2t = 4.2 + -3.6 Combine like terms: 4.2 + -3.6 = 0.6 2t = 0.6 Divide each side by '2'. t = 0.3 Simplifying t = 0.3
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