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Simplifying 74 = 3(-10t + -3) + 6t Reorder the terms: 74 = 3(-3 + -10t) + 6t 74 = (-3 * 3 + -10t * 3) + 6t 74 = (-9 + -30t) + 6t Combine like terms: -30t + 6t = -24t 74 = -9 + -24t Solving 74 = -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. 74 + 24t = -9 + -24t + 24t Combine like terms: -24t + 24t = 0 74 + 24t = -9 + 0 74 + 24t = -9 Add '-74' to each side of the equation. 74 + -74 + 24t = -9 + -74 Combine like terms: 74 + -74 = 0 0 + 24t = -9 + -74 24t = -9 + -74 Combine like terms: -9 + -74 = -83 24t = -83 Divide each side by '24'. t = -3.458333333 Simplifying t = -3.458333333
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