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Simplifying 8 + 12t + -2 = 9t + 69 + -4t Reorder the terms: 8 + -2 + 12t = 9t + 69 + -4t Combine like terms: 8 + -2 = 6 6 + 12t = 9t + 69 + -4t Reorder the terms: 6 + 12t = 69 + 9t + -4t Combine like terms: 9t + -4t = 5t 6 + 12t = 69 + 5t Solving 6 + 12t = 69 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 6 + 12t + -5t = 69 + 5t + -5t Combine like terms: 12t + -5t = 7t 6 + 7t = 69 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + 7t = 69 + 0 6 + 7t = 69 Add '-6' to each side of the equation. 6 + -6 + 7t = 69 + -6 Combine like terms: 6 + -6 = 0 0 + 7t = 69 + -6 7t = 69 + -6 Combine like terms: 69 + -6 = 63 7t = 63 Divide each side by '7'. t = 9 Simplifying t = 9
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