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Simplifying -5(4t + -4) + 4t = 3t + -9 Reorder the terms: -5(-4 + 4t) + 4t = 3t + -9 (-4 * -5 + 4t * -5) + 4t = 3t + -9 (20 + -20t) + 4t = 3t + -9 Combine like terms: -20t + 4t = -16t 20 + -16t = 3t + -9 Reorder the terms: 20 + -16t = -9 + 3t Solving 20 + -16t = -9 + 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 + -16t + -3t = -9 + 3t + -3t Combine like terms: -16t + -3t = -19t 20 + -19t = -9 + 3t + -3t Combine like terms: 3t + -3t = 0 20 + -19t = -9 + 0 20 + -19t = -9 Add '-20' to each side of the equation. 20 + -20 + -19t = -9 + -20 Combine like terms: 20 + -20 = 0 0 + -19t = -9 + -20 -19t = -9 + -20 Combine like terms: -9 + -20 = -29 -19t = -29 Divide each side by '-19'. t = 1.526315789 Simplifying t = 1.526315789
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