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Simplifying -4(t + -3) + 16t = 9t Reorder the terms: -4(-3 + t) + 16t = 9t (-3 * -4 + t * -4) + 16t = 9t (12 + -4t) + 16t = 9t Combine like terms: -4t + 16t = 12t 12 + 12t = 9t Solving 12 + 12t = 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 12 + 12t + -9t = 9t + -9t Combine like terms: 12t + -9t = 3t 12 + 3t = 9t + -9t Combine like terms: 9t + -9t = 0 12 + 3t = 0 Add '-12' to each side of the equation. 12 + -12 + 3t = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3t = 0 + -12 3t = 0 + -12 Combine like terms: 0 + -12 = -12 3t = -12 Divide each side by '3'. t = -4 Simplifying t = -4
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