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Simplifying 3(4 + -2t) = 2(3t + -6) (4 * 3 + -2t * 3) = 2(3t + -6) (12 + -6t) = 2(3t + -6) Reorder the terms: 12 + -6t = 2(-6 + 3t) 12 + -6t = (-6 * 2 + 3t * 2) 12 + -6t = (-12 + 6t) Solving 12 + -6t = -12 + 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. 12 + -6t + -6t = -12 + 6t + -6t Combine like terms: -6t + -6t = -12t 12 + -12t = -12 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -12t = -12 + 0 12 + -12t = -12 Add '-12' to each side of the equation. 12 + -12 + -12t = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -12t = -12 + -12 -12t = -12 + -12 Combine like terms: -12 + -12 = -24 -12t = -24 Divide each side by '-12'. t = 2 Simplifying t = 2
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