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Simplifying -4(3t + -5) + 8t = 4t + -9 Reorder the terms: -4(-5 + 3t) + 8t = 4t + -9 (-5 * -4 + 3t * -4) + 8t = 4t + -9 (20 + -12t) + 8t = 4t + -9 Combine like terms: -12t + 8t = -4t 20 + -4t = 4t + -9 Reorder the terms: 20 + -4t = -9 + 4t Solving 20 + -4t = -9 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 20 + -4t + -4t = -9 + 4t + -4t Combine like terms: -4t + -4t = -8t 20 + -8t = -9 + 4t + -4t Combine like terms: 4t + -4t = 0 20 + -8t = -9 + 0 20 + -8t = -9 Add '-20' to each side of the equation. 20 + -20 + -8t = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -8t = -9 + -20 -8t = -9 + -20 Combine like terms: -9 + -20 = -29 -8t = -29 Divide each side by '-8'. t = 3.625 Simplifying t = 3.625
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