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Simplifying 35t + 10.2 = 5t + 9.9 Reorder the terms: 10.2 + 35t = 5t + 9.9 Reorder the terms: 10.2 + 35t = 9.9 + 5t Solving 10.2 + 35t = 9.9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 10.2 + 35t + -5t = 9.9 + 5t + -5t Combine like terms: 35t + -5t = 30t 10.2 + 30t = 9.9 + 5t + -5t Combine like terms: 5t + -5t = 0 10.2 + 30t = 9.9 + 0 10.2 + 30t = 9.9 Add '-10.2' to each side of the equation. 10.2 + -10.2 + 30t = 9.9 + -10.2 Combine like terms: 10.2 + -10.2 = 0.0 0.0 + 30t = 9.9 + -10.2 30t = 9.9 + -10.2 Combine like terms: 9.9 + -10.2 = -0.3 30t = -0.3 Divide each side by '30'. t = -0.01 Simplifying t = -0.01
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