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Simplifying 4t + 9 = 11t + -83 Reorder the terms: 9 + 4t = 11t + -83 Reorder the terms: 9 + 4t = -83 + 11t Solving 9 + 4t = -83 + 11t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-11t' to each side of the equation. 9 + 4t + -11t = -83 + 11t + -11t Combine like terms: 4t + -11t = -7t 9 + -7t = -83 + 11t + -11t Combine like terms: 11t + -11t = 0 9 + -7t = -83 + 0 9 + -7t = -83 Add '-9' to each side of the equation. 9 + -9 + -7t = -83 + -9 Combine like terms: 9 + -9 = 0 0 + -7t = -83 + -9 -7t = -83 + -9 Combine like terms: -83 + -9 = -92 -7t = -92 Divide each side by '-7'. t = 13.14285714 Simplifying t = 13.14285714
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