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Simplifying 3t + -6(t + -4) + 8t = 0 Reorder the terms: 3t + -6(-4 + t) + 8t = 0 3t + (-4 * -6 + t * -6) + 8t = 0 3t + (24 + -6t) + 8t = 0 Reorder the terms: 24 + 3t + -6t + 8t = 0 Combine like terms: 3t + -6t = -3t 24 + -3t + 8t = 0 Combine like terms: -3t + 8t = 5t 24 + 5t = 0 Solving 24 + 5t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5t = 0 + -24 5t = 0 + -24 Combine like terms: 0 + -24 = -24 5t = -24 Divide each side by '5'. t = -4.8 Simplifying t = -4.8
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