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Simplifying -6(2t + 1) = -30 Reorder the terms: -6(1 + 2t) = -30 (1 * -6 + 2t * -6) = -30 (-6 + -12t) = -30 Solving -6 + -12t = -30 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 = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -12t = -30 + 6 -12t = -30 + 6 Combine like terms: -30 + 6 = -24 -12t = -24 Divide each side by '-12'. t = 2 Simplifying t = 2
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