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Simplifying 12(t + 2) + -7t + -8 = 6 Reorder the terms: 12(2 + t) + -7t + -8 = 6 (2 * 12 + t * 12) + -7t + -8 = 6 (24 + 12t) + -7t + -8 = 6 Reorder the terms: 24 + -8 + 12t + -7t = 6 Combine like terms: 24 + -8 = 16 16 + 12t + -7t = 6 Combine like terms: 12t + -7t = 5t 16 + 5t = 6 Solving 16 + 5t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 5t = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 5t = 6 + -16 5t = 6 + -16 Combine like terms: 6 + -16 = -10 5t = -10 Divide each side by '5'. t = -2 Simplifying t = -2
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