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Simplifying 4(3 + -2t) = 4t (3 * 4 + -2t * 4) = 4t (12 + -8t) = 4t Solving 12 + -8t = 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 12 + -8t + -4t = 4t + -4t Combine like terms: -8t + -4t = -12t 12 + -12t = 4t + -4t Combine like terms: 4t + -4t = 0 12 + -12t = 0 Add '-12' to each side of the equation. 12 + -12 + -12t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -12t = 0 + -12 -12t = 0 + -12 Combine like terms: 0 + -12 = -12 -12t = -12 Divide each side by '-12'. t = 1 Simplifying t = 1
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