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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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