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Simplifying 0 = 9t + -4(2t + 3) Reorder the terms: 0 = 9t + -4(3 + 2t) 0 = 9t + (3 * -4 + 2t * -4) 0 = 9t + (-12 + -8t) Reorder the terms: 0 = -12 + 9t + -8t Combine like terms: 9t + -8t = 1t 0 = -12 + 1t Solving 0 = -12 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 0 + -1t = -12 + 1t + -1t Remove the zero: -1t = -12 + 1t + -1t Combine like terms: 1t + -1t = 0 -1t = -12 + 0 -1t = -12 Divide each side by '-1'. t = 12 Simplifying t = 12
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