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Simplifying 19.6t + 156.8 = 58.8t + 470.4 Reorder the terms: 156.8 + 19.6t = 58.8t + 470.4 Reorder the terms: 156.8 + 19.6t = 470.4 + 58.8t Solving 156.8 + 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. 156.8 + 19.6t + -58.8t = 470.4 + 58.8t + -58.8t Combine like terms: 19.6t + -58.8t = -39.2t 156.8 + -39.2t = 470.4 + 58.8t + -58.8t Combine like terms: 58.8t + -58.8t = 0.0 156.8 + -39.2t = 470.4 + 0.0 156.8 + -39.2t = 470.4 Add '-156.8' to each side of the equation. 156.8 + -156.8 + -39.2t = 470.4 + -156.8 Combine like terms: 156.8 + -156.8 = 0.0 0.0 + -39.2t = 470.4 + -156.8 -39.2t = 470.4 + -156.8 Combine like terms: 470.4 + -156.8 = 313.6 -39.2t = 313.6 Divide each side by '-39.2'. t = -8 Simplifying t = -8
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