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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 = -66 24t = -66 Divide each side by '24'. t = -2.75 Simplifying t = -2.75
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