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Simplifying 0.4t + 0.2 = 0.6t + -2 Reorder the terms: 0.2 + 0.4t = 0.6t + -2 Reorder the terms: 0.2 + 0.4t = -2 + 0.6t Solving 0.2 + 0.4t = -2 + 0.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.6t' to each side of the equation. 0.2 + 0.4t + -0.6t = -2 + 0.6t + -0.6t Combine like terms: 0.4t + -0.6t = -0.2t 0.2 + -0.2t = -2 + 0.6t + -0.6t Combine like terms: 0.6t + -0.6t = 0.0 0.2 + -0.2t = -2 + 0.0 0.2 + -0.2t = -2 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.2t = -2 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.2t = -2 + -0.2 -0.2t = -2 + -0.2 Combine like terms: -2 + -0.2 = -2.2 -0.2t = -2.2 Divide each side by '-0.2'. t = 11 Simplifying t = 11
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