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Simplifying 12t + 9 = 4t + -7 Reorder the terms: 9 + 12t = 4t + -7 Reorder the terms: 9 + 12t = -7 + 4t Solving 9 + 12t = -7 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 9 + 12t + -4t = -7 + 4t + -4t Combine like terms: 12t + -4t = 8t 9 + 8t = -7 + 4t + -4t Combine like terms: 4t + -4t = 0 9 + 8t = -7 + 0 9 + 8t = -7 Add '-9' to each side of the equation. 9 + -9 + 8t = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 8t = -7 + -9 8t = -7 + -9 Combine like terms: -7 + -9 = -16 8t = -16 Divide each side by '8'. t = -2 Simplifying t = -2
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