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Simplifying 8t + 30 = -5t + 180 Reorder the terms: 30 + 8t = -5t + 180 Reorder the terms: 30 + 8t = 180 + -5t Solving 30 + 8t = 180 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 30 + 8t + 5t = 180 + -5t + 5t Combine like terms: 8t + 5t = 13t 30 + 13t = 180 + -5t + 5t Combine like terms: -5t + 5t = 0 30 + 13t = 180 + 0 30 + 13t = 180 Add '-30' to each side of the equation. 30 + -30 + 13t = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 13t = 180 + -30 13t = 180 + -30 Combine like terms: 180 + -30 = 150 13t = 150 Divide each side by '13'. t = 11.53846154 Simplifying t = 11.53846154
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