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Simplifying 39 = 3(-10t + -3) + 6t Reorder the terms: 39 = 3(-3 + -10t) + 6t 39 = (-3 * 3 + -10t * 3) + 6t 39 = (-9 + -30t) + 6t Combine like terms: -30t + 6t = -24t 39 = -9 + -24t Solving 39 = -9 + -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. 39 + 24t = -9 + -24t + 24t Combine like terms: -24t + 24t = 0 39 + 24t = -9 + 0 39 + 24t = -9 Add '-39' to each side of the equation. 39 + -39 + 24t = -9 + -39 Combine like terms: 39 + -39 = 0 0 + 24t = -9 + -39 24t = -9 + -39 Combine like terms: -9 + -39 = -48 24t = -48 Divide each side by '24'. t = -2 Simplifying t = -2
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