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Simplifying 7(4t + 1) + 9 = 0 Reorder the terms: 7(1 + 4t) + 9 = 0 (1 * 7 + 4t * 7) + 9 = 0 (7 + 28t) + 9 = 0 Reorder the terms: 7 + 9 + 28t = 0 Combine like terms: 7 + 9 = 16 16 + 28t = 0 Solving 16 + 28t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 28t = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 28t = 0 + -16 28t = 0 + -16 Combine like terms: 0 + -16 = -16 28t = -16 Divide each side by '28'. t = -0.5714285714 Simplifying t = -0.5714285714
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