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Simplifying 9.8t + 6 = 2.4t + 54.84 Reorder the terms: 6 + 9.8t = 2.4t + 54.84 Reorder the terms: 6 + 9.8t = 54.84 + 2.4t Solving 6 + 9.8t = 54.84 + 2.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.4t' to each side of the equation. 6 + 9.8t + -2.4t = 54.84 + 2.4t + -2.4t Combine like terms: 9.8t + -2.4t = 7.4t 6 + 7.4t = 54.84 + 2.4t + -2.4t Combine like terms: 2.4t + -2.4t = 0.0 6 + 7.4t = 54.84 + 0.0 6 + 7.4t = 54.84 Add '-6' to each side of the equation. 6 + -6 + 7.4t = 54.84 + -6 Combine like terms: 6 + -6 = 0 0 + 7.4t = 54.84 + -6 7.4t = 54.84 + -6 Combine like terms: 54.84 + -6 = 48.84 7.4t = 48.84 Divide each side by '7.4'. t = 6.6 Simplifying t = 6.6
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