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Simplifying -4(t + -5) + 9t = 3t + -2 Reorder the terms: -4(-5 + t) + 9t = 3t + -2 (-5 * -4 + t * -4) + 9t = 3t + -2 (20 + -4t) + 9t = 3t + -2 Combine like terms: -4t + 9t = 5t 20 + 5t = 3t + -2 Reorder the terms: 20 + 5t = -2 + 3t Solving 20 + 5t = -2 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 20 + 5t + -3t = -2 + 3t + -3t Combine like terms: 5t + -3t = 2t 20 + 2t = -2 + 3t + -3t Combine like terms: 3t + -3t = 0 20 + 2t = -2 + 0 20 + 2t = -2 Add '-20' to each side of the equation. 20 + -20 + 2t = -2 + -20 Combine like terms: 20 + -20 = 0 0 + 2t = -2 + -20 2t = -2 + -20 Combine like terms: -2 + -20 = -22 2t = -22 Divide each side by '2'. t = -11 Simplifying t = -11
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