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Simplifying 9(8 + 5t) + -7 + 6t = 0 (8 * 9 + 5t * 9) + -7 + 6t = 0 (72 + 45t) + -7 + 6t = 0 Reorder the terms: 72 + -7 + 45t + 6t = 0 Combine like terms: 72 + -7 = 65 65 + 45t + 6t = 0 Combine like terms: 45t + 6t = 51t 65 + 51t = 0 Solving 65 + 51t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + 51t = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 51t = 0 + -65 51t = 0 + -65 Combine like terms: 0 + -65 = -65 51t = -65 Divide each side by '51'. t = -1.274509804 Simplifying t = -1.274509804
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