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Simplifying -6(4 + -1t) = 12t (4 * -6 + -1t * -6) = 12t (-24 + 6t) = 12t Solving -24 + 6t = 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. -24 + 6t + -12t = 12t + -12t Combine like terms: 6t + -12t = -6t -24 + -6t = 12t + -12t Combine like terms: 12t + -12t = 0 -24 + -6t = 0 Add '24' to each side of the equation. -24 + 24 + -6t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -6t = 0 + 24 -6t = 0 + 24 Combine like terms: 0 + 24 = 24 -6t = 24 Divide each side by '-6'. t = -4 Simplifying t = -4
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