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Simplifying 5t + 0.8(3 + -2t) = 0 5t + (3 * 0.8 + -2t * 0.8) = 0 5t + (2.4 + -1.6t) = 0 Reorder the terms: 2.4 + 5t + -1.6t = 0 Combine like terms: 5t + -1.6t = 3.4t 2.4 + 3.4t = 0 Solving 2.4 + 3.4t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 3.4t = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 3.4t = 0 + -2.4 3.4t = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 3.4t = -2.4 Divide each side by '3.4'. t = -0.7058823529 Simplifying t = -0.7058823529
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