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Simplifying 6(4t + -12) = 12t Reorder the terms: 6(-12 + 4t) = 12t (-12 * 6 + 4t * 6) = 12t (-72 + 24t) = 12t Solving -72 + 24t = 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -72 + 24t + -12t = 12t + -12t Combine like terms: 24t + -12t = 12t -72 + 12t = 12t + -12t Combine like terms: 12t + -12t = 0 -72 + 12t = 0 Add '72' to each side of the equation. -72 + 72 + 12t = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 12t = 0 + 72 12t = 0 + 72 Combine like terms: 0 + 72 = 72 12t = 72 Divide each side by '12'. t = 6 Simplifying t = 6
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