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Simplifying 15t + -24 + t + 30 = 22t + -45 Reorder the terms: -24 + 30 + 15t + t = 22t + -45 Combine like terms: -24 + 30 = 6 6 + 15t + t = 22t + -45 Combine like terms: 15t + t = 16t 6 + 16t = 22t + -45 Reorder the terms: 6 + 16t = -45 + 22t Solving 6 + 16t = -45 + 22t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22t' to each side of the equation. 6 + 16t + -22t = -45 + 22t + -22t Combine like terms: 16t + -22t = -6t 6 + -6t = -45 + 22t + -22t Combine like terms: 22t + -22t = 0 6 + -6t = -45 + 0 6 + -6t = -45 Add '-6' to each side of the equation. 6 + -6 + -6t = -45 + -6 Combine like terms: 6 + -6 = 0 0 + -6t = -45 + -6 -6t = -45 + -6 Combine like terms: -45 + -6 = -51 -6t = -51 Divide each side by '-6'. t = 8.5 Simplifying t = 8.5
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