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Simplifying 8 + 9t + -2 = 9t + 12 + -6t Reorder the terms: 8 + -2 + 9t = 9t + 12 + -6t Combine like terms: 8 + -2 = 6 6 + 9t = 9t + 12 + -6t Reorder the terms: 6 + 9t = 12 + 9t + -6t Combine like terms: 9t + -6t = 3t 6 + 9t = 12 + 3t Solving 6 + 9t = 12 + 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 + 9t + -3t = 12 + 3t + -3t Combine like terms: 9t + -3t = 6t 6 + 6t = 12 + 3t + -3t Combine like terms: 3t + -3t = 0 6 + 6t = 12 + 0 6 + 6t = 12 Add '-6' to each side of the equation. 6 + -6 + 6t = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 6t = 12 + -6 6t = 12 + -6 Combine like terms: 12 + -6 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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