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Simplifying 6(3t + 1) = -30 Reorder the terms: 6(1 + 3t) = -30 (1 * 6 + 3t * 6) = -30 (6 + 18t) = -30 Solving 6 + 18t = -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 + 18t = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 18t = -30 + -6 18t = -30 + -6 Combine like terms: -30 + -6 = -36 18t = -36 Divide each side by '18'. t = -2 Simplifying t = -2
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