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Simplifying 6 + 12t + -5 = 9t + 19 + -3t Reorder the terms: 6 + -5 + 12t = 9t + 19 + -3t Combine like terms: 6 + -5 = 1 1 + 12t = 9t + 19 + -3t Reorder the terms: 1 + 12t = 19 + 9t + -3t Combine like terms: 9t + -3t = 6t 1 + 12t = 19 + 6t Solving 1 + 12t = 19 + 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 = 19 + 6t + -6t Combine like terms: 12t + -6t = 6t 1 + 6t = 19 + 6t + -6t Combine like terms: 6t + -6t = 0 1 + 6t = 19 + 0 1 + 6t = 19 Add '-1' to each side of the equation. 1 + -1 + 6t = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 6t = 19 + -1 6t = 19 + -1 Combine like terms: 19 + -1 = 18 6t = 18 Divide each side by '6'. t = 3 Simplifying t = 3
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