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Simplifying 5 + 8t + -2 = 7t + 27 + -5t Reorder the terms: 5 + -2 + 8t = 7t + 27 + -5t Combine like terms: 5 + -2 = 3 3 + 8t = 7t + 27 + -5t Reorder the terms: 3 + 8t = 27 + 7t + -5t Combine like terms: 7t + -5t = 2t 3 + 8t = 27 + 2t Solving 3 + 8t = 27 + 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. 3 + 8t + -2t = 27 + 2t + -2t Combine like terms: 8t + -2t = 6t 3 + 6t = 27 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 6t = 27 + 0 3 + 6t = 27 Add '-3' to each side of the equation. 3 + -3 + 6t = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 6t = 27 + -3 6t = 27 + -3 Combine like terms: 27 + -3 = 24 6t = 24 Divide each side by '6'. t = 4 Simplifying t = 4
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