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Simplifying 6(2t + -4) + 48 + -6t = 0 Reorder the terms: 6(-4 + 2t) + 48 + -6t = 0 (-4 * 6 + 2t * 6) + 48 + -6t = 0 (-24 + 12t) + 48 + -6t = 0 Reorder the terms: -24 + 48 + 12t + -6t = 0 Combine like terms: -24 + 48 = 24 24 + 12t + -6t = 0 Combine like terms: 12t + -6t = 6t 24 + 6t = 0 Solving 24 + 6t = 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 + 6t = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 6t = 0 + -24 6t = 0 + -24 Combine like terms: 0 + -24 = -24 6t = -24 Divide each side by '6'. t = -4 Simplifying t = -4
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