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Simplifying 8 + 12t + -2 = 8t + 51 + -5t Reorder the terms: 8 + -2 + 12t = 8t + 51 + -5t Combine like terms: 8 + -2 = 6 6 + 12t = 8t + 51 + -5t Reorder the terms: 6 + 12t = 51 + 8t + -5t Combine like terms: 8t + -5t = 3t 6 + 12t = 51 + 3t Solving 6 + 12t = 51 + 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. 6 + 12t + -3t = 51 + 3t + -3t Combine like terms: 12t + -3t = 9t 6 + 9t = 51 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + 9t = 51 + 0 6 + 9t = 51 Add '-6' to each side of the equation. 6 + -6 + 9t = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 9t = 51 + -6 9t = 51 + -6 Combine like terms: 51 + -6 = 45 9t = 45 Divide each side by '9'. t = 5 Simplifying t = 5
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