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Simplifying 2(3t + -1) + t = 6 + -1t Reorder the terms: 2(-1 + 3t) + t = 6 + -1t (-1 * 2 + 3t * 2) + t = 6 + -1t (-2 + 6t) + t = 6 + -1t Combine like terms: 6t + t = 7t -2 + 7t = 6 + -1t Solving -2 + 7t = 6 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -2 + 7t + t = 6 + -1t + t Combine like terms: 7t + t = 8t -2 + 8t = 6 + -1t + t Combine like terms: -1t + t = 0 -2 + 8t = 6 + 0 -2 + 8t = 6 Add '2' to each side of the equation. -2 + 2 + 8t = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 8t = 6 + 2 8t = 6 + 2 Combine like terms: 6 + 2 = 8 8t = 8 Divide each side by '8'. t = 1 Simplifying t = 1
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