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Simplifying 6t + 43 = 3t + 49 Reorder the terms: 43 + 6t = 3t + 49 Reorder the terms: 43 + 6t = 49 + 3t Solving 43 + 6t = 49 + 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. 43 + 6t + -3t = 49 + 3t + -3t Combine like terms: 6t + -3t = 3t 43 + 3t = 49 + 3t + -3t Combine like terms: 3t + -3t = 0 43 + 3t = 49 + 0 43 + 3t = 49 Add '-43' to each side of the equation. 43 + -43 + 3t = 49 + -43 Combine like terms: 43 + -43 = 0 0 + 3t = 49 + -43 3t = 49 + -43 Combine like terms: 49 + -43 = 6 3t = 6 Divide each side by '3'. t = 2 Simplifying t = 2
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