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Simplifying 2t + 6 + 5t + -6t = 1 + 4 Reorder the terms: 6 + 2t + 5t + -6t = 1 + 4 Combine like terms: 2t + 5t = 7t 6 + 7t + -6t = 1 + 4 Combine like terms: 7t + -6t = 1t 6 + 1t = 1 + 4 Combine like terms: 1 + 4 = 5 6 + 1t = 5 Solving 6 + 1t = 5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1t = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 1t = 5 + -6 1t = 5 + -6 Combine like terms: 5 + -6 = -1 1t = -1 Divide each side by '1'. t = -1 Simplifying t = -1
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