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Simplifying 0.3(t + 2) = 0.4t Reorder the terms: 0.3(2 + t) = 0.4t (2 * 0.3 + t * 0.3) = 0.4t (0.6 + 0.3t) = 0.4t Solving 0.6 + 0.3t = 0.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.4t' to each side of the equation. 0.6 + 0.3t + -0.4t = 0.4t + -0.4t Combine like terms: 0.3t + -0.4t = -0.1t 0.6 + -0.1t = 0.4t + -0.4t Combine like terms: 0.4t + -0.4t = 0.0 0.6 + -0.1t = 0.0 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.1t = 0.0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.1t = 0.0 + -0.6 -0.1t = 0.0 + -0.6 Combine like terms: 0.0 + -0.6 = -0.6 -0.1t = -0.6 Divide each side by '-0.1'. t = 6 Simplifying t = 6
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