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Simplifying 5 + 6t + -2 = 9t + 27 + -7t Reorder the terms: 5 + -2 + 6t = 9t + 27 + -7t Combine like terms: 5 + -2 = 3 3 + 6t = 9t + 27 + -7t Reorder the terms: 3 + 6t = 27 + 9t + -7t Combine like terms: 9t + -7t = 2t 3 + 6t = 27 + 2t Solving 3 + 6t = 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 + 6t + -2t = 27 + 2t + -2t Combine like terms: 6t + -2t = 4t 3 + 4t = 27 + 2t + -2t Combine like terms: 2t + -2t = 0 3 + 4t = 27 + 0 3 + 4t = 27 Add '-3' to each side of the equation. 3 + -3 + 4t = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 4t = 27 + -3 4t = 27 + -3 Combine like terms: 27 + -3 = 24 4t = 24 Divide each side by '4'. t = 6 Simplifying t = 6
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