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Simplifying 6t + 3 + -9t = 6 + -4t + 2 Reorder the terms: 3 + 6t + -9t = 6 + -4t + 2 Combine like terms: 6t + -9t = -3t 3 + -3t = 6 + -4t + 2 Reorder the terms: 3 + -3t = 6 + 2 + -4t Combine like terms: 6 + 2 = 8 3 + -3t = 8 + -4t Solving 3 + -3t = 8 + -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. 3 + -3t + 4t = 8 + -4t + 4t Combine like terms: -3t + 4t = 1t 3 + 1t = 8 + -4t + 4t Combine like terms: -4t + 4t = 0 3 + 1t = 8 + 0 3 + 1t = 8 Add '-3' to each side of the equation. 3 + -3 + 1t = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 1t = 8 + -3 1t = 8 + -3 Combine like terms: 8 + -3 = 5 1t = 5 Divide each side by '1'. t = 5 Simplifying t = 5
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