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Simplifying 3t + 8 = 9t + 2 Reorder the terms: 8 + 3t = 9t + 2 Reorder the terms: 8 + 3t = 2 + 9t Solving 8 + 3t = 2 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 8 + 3t + -9t = 2 + 9t + -9t Combine like terms: 3t + -9t = -6t 8 + -6t = 2 + 9t + -9t Combine like terms: 9t + -9t = 0 8 + -6t = 2 + 0 8 + -6t = 2 Add '-8' to each side of the equation. 8 + -8 + -6t = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -6t = 2 + -8 -6t = 2 + -8 Combine like terms: 2 + -8 = -6 -6t = -6 Divide each side by '-6'. t = 1 Simplifying t = 1
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