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Simplifying -12(2 + -1t) = 14t (2 * -12 + -1t * -12) = 14t (-24 + 12t) = 14t Solving -24 + 12t = 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -24 + 12t + -14t = 14t + -14t Combine like terms: 12t + -14t = -2t -24 + -2t = 14t + -14t Combine like terms: 14t + -14t = 0 -24 + -2t = 0 Add '24' to each side of the equation. -24 + 24 + -2t = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -2t = 0 + 24 -2t = 0 + 24 Combine like terms: 0 + 24 = 24 -2t = 24 Divide each side by '-2'. t = -12 Simplifying t = -12
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