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Simplifying -4(5t + -5) + 8t = 7t + -4 Reorder the terms: -4(-5 + 5t) + 8t = 7t + -4 (-5 * -4 + 5t * -4) + 8t = 7t + -4 (20 + -20t) + 8t = 7t + -4 Combine like terms: -20t + 8t = -12t 20 + -12t = 7t + -4 Reorder the terms: 20 + -12t = -4 + 7t Solving 20 + -12t = -4 + 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 = -4 + 7t + -7t Combine like terms: -12t + -7t = -19t 20 + -19t = -4 + 7t + -7t Combine like terms: 7t + -7t = 0 20 + -19t = -4 + 0 20 + -19t = -4 Add '-20' to each side of the equation. 20 + -20 + -19t = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -19t = -4 + -20 -19t = -4 + -20 Combine like terms: -4 + -20 = -24 -19t = -24 Divide each side by '-19'. t = 1.263157895 Simplifying t = 1.263157895
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