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Simplifying 75 = 3(-10t + -3) + 6t Reorder the terms: 75 = 3(-3 + -10t) + 6t 75 = (-3 * 3 + -10t * 3) + 6t 75 = (-9 + -30t) + 6t Combine like terms: -30t + 6t = -24t 75 = -9 + -24t Solving 75 = -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. 75 + 24t = -9 + -24t + 24t Combine like terms: -24t + 24t = 0 75 + 24t = -9 + 0 75 + 24t = -9 Add '-75' to each side of the equation. 75 + -75 + 24t = -9 + -75 Combine like terms: 75 + -75 = 0 0 + 24t = -9 + -75 24t = -9 + -75 Combine like terms: -9 + -75 = -84 24t = -84 Divide each side by '24'. t = -3.5 Simplifying t = -3.5
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