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Simplifying 21t + 22 + -7t = 11t + -23 + 18 Reorder the terms: 22 + 21t + -7t = 11t + -23 + 18 Combine like terms: 21t + -7t = 14t 22 + 14t = 11t + -23 + 18 Reorder the terms: 22 + 14t = -23 + 18 + 11t Combine like terms: -23 + 18 = -5 22 + 14t = -5 + 11t Solving 22 + 14t = -5 + 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. 22 + 14t + -11t = -5 + 11t + -11t Combine like terms: 14t + -11t = 3t 22 + 3t = -5 + 11t + -11t Combine like terms: 11t + -11t = 0 22 + 3t = -5 + 0 22 + 3t = -5 Add '-22' to each side of the equation. 22 + -22 + 3t = -5 + -22 Combine like terms: 22 + -22 = 0 0 + 3t = -5 + -22 3t = -5 + -22 Combine like terms: -5 + -22 = -27 3t = -27 Divide each side by '3'. t = -9 Simplifying t = -9
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