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Simplifying -6.5t + 15 = -9t + 43.8 Reorder the terms: 15 + -6.5t = -9t + 43.8 Reorder the terms: 15 + -6.5t = 43.8 + -9t Solving 15 + -6.5t = 43.8 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. 15 + -6.5t + 9t = 43.8 + -9t + 9t Combine like terms: -6.5t + 9t = 2.5t 15 + 2.5t = 43.8 + -9t + 9t Combine like terms: -9t + 9t = 0 15 + 2.5t = 43.8 + 0 15 + 2.5t = 43.8 Add '-15' to each side of the equation. 15 + -15 + 2.5t = 43.8 + -15 Combine like terms: 15 + -15 = 0 0 + 2.5t = 43.8 + -15 2.5t = 43.8 + -15 Combine like terms: 43.8 + -15 = 28.8 2.5t = 28.8 Divide each side by '2.5'. t = 11.52 Simplifying t = 11.52
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