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Simplifying -6(2t + 1) = 42 Reorder the terms: -6(1 + 2t) = 42 (1 * -6 + 2t * -6) = 42 (-6 + -12t) = 42 Solving -6 + -12t = 42 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -12t = 42 + 6 Combine like terms: -6 + 6 = 0 0 + -12t = 42 + 6 -12t = 42 + 6 Combine like terms: 42 + 6 = 48 -12t = 48 Divide each side by '-12'. t = -4 Simplifying t = -4
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