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Simplifying -4(3t + -2) + 8t = 5t + -9 Reorder the terms: -4(-2 + 3t) + 8t = 5t + -9 (-2 * -4 + 3t * -4) + 8t = 5t + -9 (8 + -12t) + 8t = 5t + -9 Combine like terms: -12t + 8t = -4t 8 + -4t = 5t + -9 Reorder the terms: 8 + -4t = -9 + 5t Solving 8 + -4t = -9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 8 + -4t + -5t = -9 + 5t + -5t Combine like terms: -4t + -5t = -9t 8 + -9t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 8 + -9t = -9 + 0 8 + -9t = -9 Add '-8' to each side of the equation. 8 + -8 + -9t = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -9t = -9 + -8 -9t = -9 + -8 Combine like terms: -9 + -8 = -17 -9t = -17 Divide each side by '-9'. t = 1.888888889 Simplifying t = 1.888888889
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