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Simplifying 2(2t + -3) + 12 + -1t = 0 Reorder the terms: 2(-3 + 2t) + 12 + -1t = 0 (-3 * 2 + 2t * 2) + 12 + -1t = 0 (-6 + 4t) + 12 + -1t = 0 Reorder the terms: -6 + 12 + 4t + -1t = 0 Combine like terms: -6 + 12 = 6 6 + 4t + -1t = 0 Combine like terms: 4t + -1t = 3t 6 + 3t = 0 Solving 6 + 3t = 0 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 + 3t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3t = 0 + -6 3t = 0 + -6 Combine like terms: 0 + -6 = -6 3t = -6 Divide each side by '3'. t = -2 Simplifying t = -2
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