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Simplifying 6(2t + -1) + 5t = 12 + -1 Reorder the terms: 6(-1 + 2t) + 5t = 12 + -1 (-1 * 6 + 2t * 6) + 5t = 12 + -1 (-6 + 12t) + 5t = 12 + -1 Combine like terms: 12t + 5t = 17t -6 + 17t = 12 + -1 Combine like terms: 12 + -1 = 11 -6 + 17t = 11 Solving -6 + 17t = 11 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 + 17t = 11 + 6 Combine like terms: -6 + 6 = 0 0 + 17t = 11 + 6 17t = 11 + 6 Combine like terms: 11 + 6 = 17 17t = 17 Divide each side by '17'. t = 1 Simplifying t = 1
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