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Simplifying 0.6t + -0.1 = 0.5t + 0.2 Reorder the terms: -0.1 + 0.6t = 0.5t + 0.2 Reorder the terms: -0.1 + 0.6t = 0.2 + 0.5t Solving -0.1 + 0.6t = 0.2 + 0.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.5t' to each side of the equation. -0.1 + 0.6t + -0.5t = 0.2 + 0.5t + -0.5t Combine like terms: 0.6t + -0.5t = 0.1t -0.1 + 0.1t = 0.2 + 0.5t + -0.5t Combine like terms: 0.5t + -0.5t = 0.0 -0.1 + 0.1t = 0.2 + 0.0 -0.1 + 0.1t = 0.2 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.1t = 0.2 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.1t = 0.2 + 0.1 0.1t = 0.2 + 0.1 Combine like terms: 0.2 + 0.1 = 0.3 0.1t = 0.3 Divide each side by '0.1'. t = 3 Simplifying t = 3
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