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Simplifying 6 + 8t + -5 = 9t + 43 + -7t Reorder the terms: 6 + -5 + 8t = 9t + 43 + -7t Combine like terms: 6 + -5 = 1 1 + 8t = 9t + 43 + -7t Reorder the terms: 1 + 8t = 43 + 9t + -7t Combine like terms: 9t + -7t = 2t 1 + 8t = 43 + 2t Solving 1 + 8t = 43 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 1 + 8t + -2t = 43 + 2t + -2t Combine like terms: 8t + -2t = 6t 1 + 6t = 43 + 2t + -2t Combine like terms: 2t + -2t = 0 1 + 6t = 43 + 0 1 + 6t = 43 Add '-1' to each side of the equation. 1 + -1 + 6t = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 6t = 43 + -1 6t = 43 + -1 Combine like terms: 43 + -1 = 42 6t = 42 Divide each side by '6'. t = 7 Simplifying t = 7
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