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Simplifying 6(2t + -3) = 36 + -6t Reorder the terms: 6(-3 + 2t) = 36 + -6t (-3 * 6 + 2t * 6) = 36 + -6t (-18 + 12t) = 36 + -6t Solving -18 + 12t = 36 + -6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6t' to each side of the equation. -18 + 12t + 6t = 36 + -6t + 6t Combine like terms: 12t + 6t = 18t -18 + 18t = 36 + -6t + 6t Combine like terms: -6t + 6t = 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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