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Simplifying -6(2t + 9) = -78 Reorder the terms: -6(9 + 2t) = -78 (9 * -6 + 2t * -6) = -78 (-54 + -12t) = -78 Solving -54 + -12t = -78 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + -12t = -78 + 54 Combine like terms: -54 + 54 = 0 0 + -12t = -78 + 54 -12t = -78 + 54 Combine like terms: -78 + 54 = -24 -12t = -24 Divide each side by '-12'. t = 2 Simplifying t = 2
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