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Simplifying 6(2t + -1) + 5t = 12 + -1t Reorder the terms: 6(-1 + 2t) + 5t = 12 + -1t (-1 * 6 + 2t * 6) + 5t = 12 + -1t (-6 + 12t) + 5t = 12 + -1t Combine like terms: 12t + 5t = 17t -6 + 17t = 12 + -1t Solving -6 + 17t = 12 + -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. -6 + 17t + t = 12 + -1t + t Combine like terms: 17t + t = 18t -6 + 18t = 12 + -1t + t Combine like terms: -1t + t = 0 -6 + 18t = 12 + 0 -6 + 18t = 12 Add '6' to each side of the equation. -6 + 6 + 18t = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 18t = 12 + 6 18t = 12 + 6 Combine like terms: 12 + 6 = 18 18t = 18 Divide each side by '18'. t = 1 Simplifying t = 1
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