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Simplifying -5(4t + 4) + 4t = 5t + -9 Reorder the terms: -5(4 + 4t) + 4t = 5t + -9 (4 * -5 + 4t * -5) + 4t = 5t + -9 (-20 + -20t) + 4t = 5t + -9 Combine like terms: -20t + 4t = -16t -20 + -16t = 5t + -9 Reorder the terms: -20 + -16t = -9 + 5t Solving -20 + -16t = -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. -20 + -16t + -5t = -9 + 5t + -5t Combine like terms: -16t + -5t = -21t -20 + -21t = -9 + 5t + -5t Combine like terms: 5t + -5t = 0 -20 + -21t = -9 + 0 -20 + -21t = -9 Add '20' to each side of the equation. -20 + 20 + -21t = -9 + 20 Combine like terms: -20 + 20 = 0 0 + -21t = -9 + 20 -21t = -9 + 20 Combine like terms: -9 + 20 = 11 -21t = 11 Divide each side by '-21'. t = -0.5238095238 Simplifying t = -0.5238095238
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