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Simplifying 30t + 22 + -20t = 6t + -24 + 18 Reorder the terms: 22 + 30t + -20t = 6t + -24 + 18 Combine like terms: 30t + -20t = 10t 22 + 10t = 6t + -24 + 18 Reorder the terms: 22 + 10t = -24 + 18 + 6t Combine like terms: -24 + 18 = -6 22 + 10t = -6 + 6t Solving 22 + 10t = -6 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. 22 + 10t + -6t = -6 + 6t + -6t Combine like terms: 10t + -6t = 4t 22 + 4t = -6 + 6t + -6t Combine like terms: 6t + -6t = 0 22 + 4t = -6 + 0 22 + 4t = -6 Add '-22' to each side of the equation. 22 + -22 + 4t = -6 + -22 Combine like terms: 22 + -22 = 0 0 + 4t = -6 + -22 4t = -6 + -22 Combine like terms: -6 + -22 = -28 4t = -28 Divide each side by '4'. t = -7 Simplifying t = -7
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