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Simplifying -12t = -2(5t + -6) + -8t Reorder the terms: -12t = -2(-6 + 5t) + -8t -12t = (-6 * -2 + 5t * -2) + -8t -12t = (12 + -10t) + -8t Combine like terms: -10t + -8t = -18t -12t = 12 + -18t Solving -12t = 12 + -18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '18t' to each side of the equation. -12t + 18t = 12 + -18t + 18t Combine like terms: -12t + 18t = 6t 6t = 12 + -18t + 18t Combine like terms: -18t + 18t = 0 6t = 12 + 0 6t = 12 Divide each side by '6'. t = 2 Simplifying t = 2
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