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Simplifying -5(4t + -4) + 8t = 7t + -3 Reorder the terms: -5(-4 + 4t) + 8t = 7t + -3 (-4 * -5 + 4t * -5) + 8t = 7t + -3 (20 + -20t) + 8t = 7t + -3 Combine like terms: -20t + 8t = -12t 20 + -12t = 7t + -3 Reorder the terms: 20 + -12t = -3 + 7t Solving 20 + -12t = -3 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. 20 + -12t + -7t = -3 + 7t + -7t Combine like terms: -12t + -7t = -19t 20 + -19t = -3 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -19t = -3 + 0 20 + -19t = -3 Add '-20' to each side of the equation. 20 + -20 + -19t = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -19t = -3 + -20 -19t = -3 + -20 Combine like terms: -3 + -20 = -23 -19t = -23 Divide each side by '-19'. t = 1.210526316 Simplifying t = 1.210526316
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