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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 = 36t 75 = -9 + 36t Solving 75 = -9 + 36t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36t' to each side of the equation. 75 + -36t = -9 + 36t + -36t Combine like terms: 36t + -36t = 0 75 + -36t = -9 + 0 75 + -36t = -9 Add '-75' to each side of the equation. 75 + -75 + -36t = -9 + -75 Combine like terms: 75 + -75 = 0 0 + -36t = -9 + -75 -36t = -9 + -75 Combine like terms: -9 + -75 = -84 -36t = -84 Divide each side by '-36'. t = 2.333333333 Simplifying t = 2.333333333
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