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Simplifying 4.5t + -6.3 = 15.3 + 1.8t Reorder the terms: -6.3 + 4.5t = 15.3 + 1.8t Solving -6.3 + 4.5t = 15.3 + 1.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.8t' to each side of the equation. -6.3 + 4.5t + -1.8t = 15.3 + 1.8t + -1.8t Combine like terms: 4.5t + -1.8t = 2.7t -6.3 + 2.7t = 15.3 + 1.8t + -1.8t Combine like terms: 1.8t + -1.8t = 0.0 -6.3 + 2.7t = 15.3 + 0.0 -6.3 + 2.7t = 15.3 Add '6.3' to each side of the equation. -6.3 + 6.3 + 2.7t = 15.3 + 6.3 Combine like terms: -6.3 + 6.3 = 0.0 0.0 + 2.7t = 15.3 + 6.3 2.7t = 15.3 + 6.3 Combine like terms: 15.3 + 6.3 = 21.6 2.7t = 21.6 Divide each side by '2.7'. t = 8 Simplifying t = 8
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