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Simplifying 6t = 3(t + 9) + -1t Reorder the terms: 6t = 3(9 + t) + -1t 6t = (9 * 3 + t * 3) + -1t 6t = (27 + 3t) + -1t Combine like terms: 3t + -1t = 2t 6t = 27 + 2t Solving 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. 6t + -2t = 27 + 2t + -2t Combine like terms: 6t + -2t = 4t 4t = 27 + 2t + -2t Combine like terms: 2t + -2t = 0 4t = 27 + 0 4t = 27 Divide each side by '4'. t = 6.75 Simplifying t = 6.75
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