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Simplifying 7 + 12t + -6 = 8 + 21 + -6t Reorder the terms: 7 + -6 + 12t = 8 + 21 + -6t Combine like terms: 7 + -6 = 1 1 + 12t = 8 + 21 + -6t Combine like terms: 8 + 21 = 29 1 + 12t = 29 + -6t Solving 1 + 12t = 29 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. 1 + 12t + 6t = 29 + -6t + 6t Combine like terms: 12t + 6t = 18t 1 + 18t = 29 + -6t + 6t Combine like terms: -6t + 6t = 0 1 + 18t = 29 + 0 1 + 18t = 29 Add '-1' to each side of the equation. 1 + -1 + 18t = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 18t = 29 + -1 18t = 29 + -1 Combine like terms: 29 + -1 = 28 18t = 28 Divide each side by '18'. t = 1.555555556 Simplifying t = 1.555555556
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