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Simplifying 3t + 5 + 4t + -11 = -24 + 8 Reorder the terms: 5 + -11 + 3t + 4t = -24 + 8 Combine like terms: 5 + -11 = -6 -6 + 3t + 4t = -24 + 8 Combine like terms: 3t + 4t = 7t -6 + 7t = -24 + 8 Combine like terms: -24 + 8 = -16 -6 + 7t = -16 Solving -6 + 7t = -16 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7t = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 7t = -16 + 6 7t = -16 + 6 Combine like terms: -16 + 6 = -10 7t = -10 Divide each side by '7'. t = -1.428571429 Simplifying t = -1.428571429
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