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Simplifying 0.4t + 0.5 = 0.5t + -0.3 Reorder the terms: 0.5 + 0.4t = 0.5t + -0.3 Reorder the terms: 0.5 + 0.4t = -0.3 + 0.5t Solving 0.5 + 0.4t = -0.3 + 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. 0.5 + 0.4t + -0.5t = -0.3 + 0.5t + -0.5t Combine like terms: 0.4t + -0.5t = -0.1t 0.5 + -0.1t = -0.3 + 0.5t + -0.5t Combine like terms: 0.5t + -0.5t = 0.0 0.5 + -0.1t = -0.3 + 0.0 0.5 + -0.1t = -0.3 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.1t = -0.3 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.1t = -0.3 + -0.5 -0.1t = -0.3 + -0.5 Combine like terms: -0.3 + -0.5 = -0.8 -0.1t = -0.8 Divide each side by '-0.1'. t = 8 Simplifying t = 8
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