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Simplifying 7(4t + 1) + 9t = 0 Reorder the terms: 7(1 + 4t) + 9t = 0 (1 * 7 + 4t * 7) + 9t = 0 (7 + 28t) + 9t = 0 Combine like terms: 28t + 9t = 37t 7 + 37t = 0 Solving 7 + 37t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 37t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 37t = 0 + -7 37t = 0 + -7 Combine like terms: 0 + -7 = -7 37t = -7 Divide each side by '37'. t = -0.1891891892 Simplifying t = -0.1891891892
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