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Simplifying -6(2t + 8) = -84 Reorder the terms: -6(8 + 2t) = -84 (8 * -6 + 2t * -6) = -84 (-48 + -12t) = -84 Solving -48 + -12t = -84 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -12t = -84 + 48 Combine like terms: -48 + 48 = 0 0 + -12t = -84 + 48 -12t = -84 + 48 Combine like terms: -84 + 48 = -36 -12t = -36 Divide each side by '-12'. t = 3 Simplifying t = 3
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