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Simplifying 7 + 12t + -4 = 9t + 43 + -5t Reorder the terms: 7 + -4 + 12t = 9t + 43 + -5t Combine like terms: 7 + -4 = 3 3 + 12t = 9t + 43 + -5t Reorder the terms: 3 + 12t = 43 + 9t + -5t Combine like terms: 9t + -5t = 4t 3 + 12t = 43 + 4t Solving 3 + 12t = 43 + 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. 3 + 12t + -4t = 43 + 4t + -4t Combine like terms: 12t + -4t = 8t 3 + 8t = 43 + 4t + -4t Combine like terms: 4t + -4t = 0 3 + 8t = 43 + 0 3 + 8t = 43 Add '-3' to each side of the equation. 3 + -3 + 8t = 43 + -3 Combine like terms: 3 + -3 = 0 0 + 8t = 43 + -3 8t = 43 + -3 Combine like terms: 43 + -3 = 40 8t = 40 Divide each side by '8'. t = 5 Simplifying t = 5
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