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Simplifying -4(t + -5) + 9t = 8t + -4 Reorder the terms: -4(-5 + t) + 9t = 8t + -4 (-5 * -4 + t * -4) + 9t = 8t + -4 (20 + -4t) + 9t = 8t + -4 Combine like terms: -4t + 9t = 5t 20 + 5t = 8t + -4 Reorder the terms: 20 + 5t = -4 + 8t Solving 20 + 5t = -4 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 20 + 5t + -8t = -4 + 8t + -8t Combine like terms: 5t + -8t = -3t 20 + -3t = -4 + 8t + -8t Combine like terms: 8t + -8t = 0 20 + -3t = -4 + 0 20 + -3t = -4 Add '-20' to each side of the equation. 20 + -20 + -3t = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -3t = -4 + -20 -3t = -4 + -20 Combine like terms: -4 + -20 = -24 -3t = -24 Divide each side by '-3'. t = 8 Simplifying t = 8
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