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Simplifying 1 + 7(4 + 3t) + 5(12 + t) = 0 1 + (4 * 7 + 3t * 7) + 5(12 + t) = 0 1 + (28 + 21t) + 5(12 + t) = 0 1 + 28 + 21t + (12 * 5 + t * 5) = 0 1 + 28 + 21t + (60 + 5t) = 0 Reorder the terms: 1 + 28 + 60 + 21t + 5t = 0 Combine like terms: 1 + 28 = 29 29 + 60 + 21t + 5t = 0 Combine like terms: 29 + 60 = 89 89 + 21t + 5t = 0 Combine like terms: 21t + 5t = 26t 89 + 26t = 0 Solving 89 + 26t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + 26t = 0 + -89 Combine like terms: 89 + -89 = 0 0 + 26t = 0 + -89 26t = 0 + -89 Combine like terms: 0 + -89 = -89 26t = -89 Divide each side by '26'. t = -3.423076923 Simplifying t = -3.423076923
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