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Simplifying 12(2t + -2) = 9t + -27 Reorder the terms: 12(-2 + 2t) = 9t + -27 (-2 * 12 + 2t * 12) = 9t + -27 (-24 + 24t) = 9t + -27 Reorder the terms: -24 + 24t = -27 + 9t Solving -24 + 24t = -27 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -24 + 24t + -9t = -27 + 9t + -9t Combine like terms: 24t + -9t = 15t -24 + 15t = -27 + 9t + -9t Combine like terms: 9t + -9t = 0 -24 + 15t = -27 + 0 -24 + 15t = -27 Add '24' to each side of the equation. -24 + 24 + 15t = -27 + 24 Combine like terms: -24 + 24 = 0 0 + 15t = -27 + 24 15t = -27 + 24 Combine like terms: -27 + 24 = -3 15t = -3 Divide each side by '15'. t = -0.2 Simplifying t = -0.2
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