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Simplifying 3t + -6 = 5t + 8 + -9t Reorder the terms: -6 + 3t = 5t + 8 + -9t Reorder the terms: -6 + 3t = 8 + 5t + -9t Combine like terms: 5t + -9t = -4t -6 + 3t = 8 + -4t Solving -6 + 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. -6 + 3t + 4t = 8 + -4t + 4t Combine like terms: 3t + 4t = 7t -6 + 7t = 8 + -4t + 4t Combine like terms: -4t + 4t = 0 -6 + 7t = 8 + 0 -6 + 7t = 8 Add '6' to each side of the equation. -6 + 6 + 7t = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 7t = 8 + 6 7t = 8 + 6 Combine like terms: 8 + 6 = 14 7t = 14 Divide each side by '7'. t = 2 Simplifying t = 2
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