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Simplifying 3.0(t + -2) = 0.4t Reorder the terms: 3.0(-2 + t) = 0.4t (-2 * 3.0 + t * 3.0) = 0.4t (-6 + 3.0t) = 0.4t Solving -6 + 3.0t = 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. -6 + 3.0t + -0.4t = 0.4t + -0.4t Combine like terms: 3.0t + -0.4t = 2.6t -6 + 2.6t = 0.4t + -0.4t Combine like terms: 0.4t + -0.4t = 0.0 -6 + 2.6t = 0.0 Add '6' to each side of the equation. -6 + 6 + 2.6t = 0.0 + 6 Combine like terms: -6 + 6 = 0 0 + 2.6t = 0.0 + 6 2.6t = 0.0 + 6 Combine like terms: 0.0 + 6 = 6 2.6t = 6 Divide each side by '2.6'. t = 2.307692308 Simplifying t = 2.307692308
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