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Simplifying 6(2t + -3) + 5t = 36 + -1t Reorder the terms: 6(-3 + 2t) + 5t = 36 + -1t (-3 * 6 + 2t * 6) + 5t = 36 + -1t (-18 + 12t) + 5t = 36 + -1t Combine like terms: 12t + 5t = 17t -18 + 17t = 36 + -1t Solving -18 + 17t = 36 + -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. -18 + 17t + t = 36 + -1t + t Combine like terms: 17t + t = 18t -18 + 18t = 36 + -1t + t Combine like terms: -1t + t = 0 -18 + 18t = 36 + 0 -18 + 18t = 36 Add '18' to each side of the equation. -18 + 18 + 18t = 36 + 18 Combine like terms: -18 + 18 = 0 0 + 18t = 36 + 18 18t = 36 + 18 Combine like terms: 36 + 18 = 54 18t = 54 Divide each side by '18'. t = 3 Simplifying t = 3
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