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Simplifying 5 + 11t + -2 = 7t + 27 + -4t Reorder the terms: 5 + -2 + 11t = 7t + 27 + -4t Combine like terms: 5 + -2 = 3 3 + 11t = 7t + 27 + -4t Reorder the terms: 3 + 11t = 27 + 7t + -4t Combine like terms: 7t + -4t = 3t 3 + 11t = 27 + 3t Solving 3 + 11t = 27 + 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. 3 + 11t + -3t = 27 + 3t + -3t Combine like terms: 11t + -3t = 8t 3 + 8t = 27 + 3t + -3t Combine like terms: 3t + -3t = 0 3 + 8t = 27 + 0 3 + 8t = 27 Add '-3' to each side of the equation. 3 + -3 + 8t = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 8t = 27 + -3 8t = 27 + -3 Combine like terms: 27 + -3 = 24 8t = 24 Divide each side by '8'. t = 3 Simplifying t = 3
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