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Simplifying 76 = 3(-10t + -3) + 6t Reorder the terms: 76 = 3(-3 + -10t) + 6t 76 = (-3 * 3 + -10t * 3) + 6t 76 = (-9 + -30t) + 6t Combine like terms: -30t + 6t = -24t 76 = -9 + -24t Solving 76 = -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. 76 + 24t = -9 + -24t + 24t Combine like terms: -24t + 24t = 0 76 + 24t = -9 + 0 76 + 24t = -9 Add '-76' to each side of the equation. 76 + -76 + 24t = -9 + -76 Combine like terms: 76 + -76 = 0 0 + 24t = -9 + -76 24t = -9 + -76 Combine like terms: -9 + -76 = -85 24t = -85 Divide each side by '24'. t = -3.541666667 Simplifying t = -3.541666667
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