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Simplifying 2(6t + -3) = 36 + -2t Reorder the terms: 2(-3 + 6t) = 36 + -2t (-3 * 2 + 6t * 2) = 36 + -2t (-6 + 12t) = 36 + -2t Solving -6 + 12t = 36 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -6 + 12t + 2t = 36 + -2t + 2t Combine like terms: 12t + 2t = 14t -6 + 14t = 36 + -2t + 2t Combine like terms: -2t + 2t = 0 -6 + 14t = 36 + 0 -6 + 14t = 36 Add '6' to each side of the equation. -6 + 6 + 14t = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 14t = 36 + 6 14t = 36 + 6 Combine like terms: 36 + 6 = 42 14t = 42 Divide each side by '14'. t = 3 Simplifying t = 3
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