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Simplifying 7(t + 8) + -5t = 0 Reorder the terms: 7(8 + t) + -5t = 0 (8 * 7 + t * 7) + -5t = 0 (56 + 7t) + -5t = 0 Combine like terms: 7t + -5t = 2t 56 + 2t = 0 Solving 56 + 2t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 2t = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 2t = 0 + -56 2t = 0 + -56 Combine like terms: 0 + -56 = -56 2t = -56 Divide each side by '2'. t = -28 Simplifying t = -28
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