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Simplifying 7(t + 8.5) + -5t + 4 = 0 Reorder the terms: 7(8.5 + t) + -5t + 4 = 0 (8.5 * 7 + t * 7) + -5t + 4 = 0 (59.5 + 7t) + -5t + 4 = 0 Reorder the terms: 59.5 + 4 + 7t + -5t = 0 Combine like terms: 59.5 + 4 = 63.5 63.5 + 7t + -5t = 0 Combine like terms: 7t + -5t = 2t 63.5 + 2t = 0 Solving 63.5 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-63.5' to each side of the equation. 63.5 + -63.5 + 2t = 0 + -63.5 Combine like terms: 63.5 + -63.5 = 0.0 0.0 + 2t = 0 + -63.5 2t = 0 + -63.5 Combine like terms: 0 + -63.5 = -63.5 2t = -63.5 Divide each side by '2'. t = -31.75 Simplifying t = -31.75
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