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Simplifying 4 + 6t + -2 = 9t + 12 + -5t Reorder the terms: 4 + -2 + 6t = 9t + 12 + -5t Combine like terms: 4 + -2 = 2 2 + 6t = 9t + 12 + -5t Reorder the terms: 2 + 6t = 12 + 9t + -5t Combine like terms: 9t + -5t = 4t 2 + 6t = 12 + 4t Solving 2 + 6t = 12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 2 + 6t + -4t = 12 + 4t + -4t Combine like terms: 6t + -4t = 2t 2 + 2t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + 2t = 12 + 0 2 + 2t = 12 Add '-2' to each side of the equation. 2 + -2 + 2t = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2t = 12 + -2 2t = 12 + -2 Combine like terms: 12 + -2 = 10 2t = 10 Divide each side by '2'. t = 5 Simplifying t = 5
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