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Simplifying 4(7 + t) + 3t + 7 = 0 (7 * 4 + t * 4) + 3t + 7 = 0 (28 + 4t) + 3t + 7 = 0 Reorder the terms: 28 + 7 + 4t + 3t = 0 Combine like terms: 28 + 7 = 35 35 + 4t + 3t = 0 Combine like terms: 4t + 3t = 7t 35 + 7t = 0 Solving 35 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 7t = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 7t = 0 + -35 7t = 0 + -35 Combine like terms: 0 + -35 = -35 7t = -35 Divide each side by '7'. t = -5 Simplifying t = -5
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