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Simplifying 4t + 5(0.8 + -1t) = 6 4t + (0.8 * 5 + -1t * 5) = 6 4t + (4 + -5t) = 6 Reorder the terms: 4 + 4t + -5t = 6 Combine like terms: 4t + -5t = -1t 4 + -1t = 6 Solving 4 + -1t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 6 + -4 -1t = 6 + -4 Combine like terms: 6 + -4 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2
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