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Simplifying -6(2t + 9) = -102 Reorder the terms: -6(9 + 2t) = -102 (9 * -6 + 2t * -6) = -102 (-54 + -12t) = -102 Solving -54 + -12t = -102 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 = -102 + 54 Combine like terms: -54 + 54 = 0 0 + -12t = -102 + 54 -12t = -102 + 54 Combine like terms: -102 + 54 = -48 -12t = -48 Divide each side by '-12'. t = 4 Simplifying t = 4
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