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Simplifying 7(1t + 9) + 5 + 1t = 0 Reorder the terms: 7(9 + 1t) + 5 + 1t = 0 (9 * 7 + 1t * 7) + 5 + 1t = 0 (63 + 7t) + 5 + 1t = 0 Reorder the terms: 63 + 5 + 7t + 1t = 0 Combine like terms: 63 + 5 = 68 68 + 7t + 1t = 0 Combine like terms: 7t + 1t = 8t 68 + 8t = 0 Solving 68 + 8t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 8t = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 8t = 0 + -68 8t = 0 + -68 Combine like terms: 0 + -68 = -68 8t = -68 Divide each side by '8'. t = -8.5 Simplifying t = -8.5
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