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Simplifying 6(2t + -3) + 5 = 36 + -1t Reorder the terms: 6(-3 + 2t) + 5 = 36 + -1t (-3 * 6 + 2t * 6) + 5 = 36 + -1t (-18 + 12t) + 5 = 36 + -1t Reorder the terms: -18 + 5 + 12t = 36 + -1t Combine like terms: -18 + 5 = -13 -13 + 12t = 36 + -1t Solving -13 + 12t = 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. -13 + 12t + t = 36 + -1t + t Combine like terms: 12t + t = 13t -13 + 13t = 36 + -1t + t Combine like terms: -1t + t = 0 -13 + 13t = 36 + 0 -13 + 13t = 36 Add '13' to each side of the equation. -13 + 13 + 13t = 36 + 13 Combine like terms: -13 + 13 = 0 0 + 13t = 36 + 13 13t = 36 + 13 Combine like terms: 36 + 13 = 49 13t = 49 Divide each side by '13'. t = 3.769230769 Simplifying t = 3.769230769
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