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Simplifying 75 + -9t = 6(-4 + 2t) 75 + -9t = (-4 * 6 + 2t * 6) 75 + -9t = (-24 + 12t) Solving 75 + -9t = -24 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 75 + -9t + -12t = -24 + 12t + -12t Combine like terms: -9t + -12t = -21t 75 + -21t = -24 + 12t + -12t Combine like terms: 12t + -12t = 0 75 + -21t = -24 + 0 75 + -21t = -24 Add '-75' to each side of the equation. 75 + -75 + -21t = -24 + -75 Combine like terms: 75 + -75 = 0 0 + -21t = -24 + -75 -21t = -24 + -75 Combine like terms: -24 + -75 = -99 -21t = -99 Divide each side by '-21'. t = 4.714285714 Simplifying t = 4.714285714
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