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Simplifying -4(5t + -4) + 8t = 7t + -8 Reorder the terms: -4(-4 + 5t) + 8t = 7t + -8 (-4 * -4 + 5t * -4) + 8t = 7t + -8 (16 + -20t) + 8t = 7t + -8 Combine like terms: -20t + 8t = -12t 16 + -12t = 7t + -8 Reorder the terms: 16 + -12t = -8 + 7t Solving 16 + -12t = -8 + 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. 16 + -12t + -7t = -8 + 7t + -7t Combine like terms: -12t + -7t = -19t 16 + -19t = -8 + 7t + -7t Combine like terms: 7t + -7t = 0 16 + -19t = -8 + 0 16 + -19t = -8 Add '-16' to each side of the equation. 16 + -16 + -19t = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -19t = -8 + -16 -19t = -8 + -16 Combine like terms: -8 + -16 = -24 -19t = -24 Divide each side by '-19'. t = 1.263157895 Simplifying t = 1.263157895
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