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Simplifying 6t + 12 = 3t + -9 Reorder the terms: 12 + 6t = 3t + -9 Reorder the terms: 12 + 6t = -9 + 3t Solving 12 + 6t = -9 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 12 + 6t + -3t = -9 + 3t + -3t Combine like terms: 6t + -3t = 3t 12 + 3t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 12 + 3t = -9 + 0 12 + 3t = -9 Add '-12' to each side of the equation. 12 + -12 + 3t = -9 + -12 Combine like terms: 12 + -12 = 0 0 + 3t = -9 + -12 3t = -9 + -12 Combine like terms: -9 + -12 = -21 3t = -21 Divide each side by '3'. t = -7 Simplifying t = -7
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