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Simplifying 4t + 9 + (2t + 7) + 6 = 0 Reorder the terms: 4t + 9 + (7 + 2t) + 6 = 0 Remove parenthesis around (7 + 2t) 4t + 9 + 7 + 2t + 6 = 0 Reorder the terms: 9 + 7 + 6 + 4t + 2t = 0 Combine like terms: 9 + 7 = 16 16 + 6 + 4t + 2t = 0 Combine like terms: 16 + 6 = 22 22 + 4t + 2t = 0 Combine like terms: 4t + 2t = 6t 22 + 6t = 0 Solving 22 + 6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 6t = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 6t = 0 + -22 6t = 0 + -22 Combine like terms: 0 + -22 = -22 6t = -22 Divide each side by '6'. t = -3.666666667 Simplifying t = -3.666666667
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