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Simplifying 0.5t + -4 = 1t + -0.8 Reorder the terms: -4 + 0.5t = 1t + -0.8 Reorder the terms: -4 + 0.5t = -0.8 + 1t Solving -4 + 0.5t = -0.8 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -4 + 0.5t + -1t = -0.8 + 1t + -1t Combine like terms: 0.5t + -1t = -0.5t -4 + -0.5t = -0.8 + 1t + -1t Combine like terms: 1t + -1t = 0 -4 + -0.5t = -0.8 + 0 -4 + -0.5t = -0.8 Add '4' to each side of the equation. -4 + 4 + -0.5t = -0.8 + 4 Combine like terms: -4 + 4 = 0 0 + -0.5t = -0.8 + 4 -0.5t = -0.8 + 4 Combine like terms: -0.8 + 4 = 3.2 -0.5t = 3.2 Divide each side by '-0.5'. t = -6.4 Simplifying t = -6.4
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