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Simplifying 6t + 3(2 + 9t) + 7 = 0 6t + (2 * 3 + 9t * 3) + 7 = 0 6t + (6 + 27t) + 7 = 0 Reorder the terms: 6 + 7 + 6t + 27t = 0 Combine like terms: 6 + 7 = 13 13 + 6t + 27t = 0 Combine like terms: 6t + 27t = 33t 13 + 33t = 0 Solving 13 + 33t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 33t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 33t = 0 + -13 33t = 0 + -13 Combine like terms: 0 + -13 = -13 33t = -13 Divide each side by '33'. t = -0.3939393939 Simplifying t = -0.3939393939
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