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Simplifying 2t + -6(-1t + 4) = 0 Reorder the terms: 2t + -6(4 + -1t) = 0 2t + (4 * -6 + -1t * -6) = 0 2t + (-24 + 6t) = 0 Reorder the terms: -24 + 2t + 6t = 0 Combine like terms: 2t + 6t = 8t -24 + 8t = 0 Solving -24 + 8t = 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 + 8t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 8t = 0 + 24 8t = 0 + 24 Combine like terms: 0 + 24 = 24 8t = 24 Divide each side by '8'. t = 3 Simplifying t = 3
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