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Simplifying 3(8 + -10t) = 2(6 + -12t) (8 * 3 + -10t * 3) = 2(6 + -12t) (24 + -30t) = 2(6 + -12t) 24 + -30t = (6 * 2 + -12t * 2) 24 + -30t = (12 + -24t) Solving 24 + -30t = 12 + -24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '24t' to each side of the equation. 24 + -30t + 24t = 12 + -24t + 24t Combine like terms: -30t + 24t = -6t 24 + -6t = 12 + -24t + 24t Combine like terms: -24t + 24t = 0 24 + -6t = 12 + 0 24 + -6t = 12 Add '-24' to each side of the equation. 24 + -24 + -6t = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -6t = 12 + -24 -6t = 12 + -24 Combine like terms: 12 + -24 = -12 -6t = -12 Divide each side by '-6'. t = 2 Simplifying t = 2
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