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Simplifying 19.6t + 1568 = 58.8t + 470.4 Reorder the terms: 1568 + 19.6t = 58.8t + 470.4 Reorder the terms: 1568 + 19.6t = 470.4 + 58.8t Solving 1568 + 19.6t = 470.4 + 58.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-58.8t' to each side of the equation. 1568 + 19.6t + -58.8t = 470.4 + 58.8t + -58.8t Combine like terms: 19.6t + -58.8t = -39.2t 1568 + -39.2t = 470.4 + 58.8t + -58.8t Combine like terms: 58.8t + -58.8t = 0.0 1568 + -39.2t = 470.4 + 0.0 1568 + -39.2t = 470.4 Add '-1568' to each side of the equation. 1568 + -1568 + -39.2t = 470.4 + -1568 Combine like terms: 1568 + -1568 = 0 0 + -39.2t = 470.4 + -1568 -39.2t = 470.4 + -1568 Combine like terms: 470.4 + -1568 = -1097.6 -39.2t = -1097.6 Divide each side by '-39.2'. t = 28 Simplifying t = 28
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