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Simplifying 7(t + 8.5) + -5 + 4t = 0 Reorder the terms: 7(8.5 + t) + -5 + 4t = 0 (8.5 * 7 + t * 7) + -5 + 4t = 0 (59.5 + 7t) + -5 + 4t = 0 Reorder the terms: 59.5 + -5 + 7t + 4t = 0 Combine like terms: 59.5 + -5 = 54.5 54.5 + 7t + 4t = 0 Combine like terms: 7t + 4t = 11t 54.5 + 11t = 0 Solving 54.5 + 11t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-54.5' to each side of the equation. 54.5 + -54.5 + 11t = 0 + -54.5 Combine like terms: 54.5 + -54.5 = 0.0 0.0 + 11t = 0 + -54.5 11t = 0 + -54.5 Combine like terms: 0 + -54.5 = -54.5 11t = -54.5 Divide each side by '11'. t = -4.954545455 Simplifying t = -4.954545455
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