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Simplifying -6.5t + 15 = 9.7 + 43.8 Reorder the terms: 15 + -6.5t = 9.7 + 43.8 Combine like terms: 9.7 + 43.8 = 53.5 15 + -6.5t = 53.5 Solving 15 + -6.5t = 53.5 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -6.5t = 53.5 + -15 Combine like terms: 15 + -15 = 0 0 + -6.5t = 53.5 + -15 -6.5t = 53.5 + -15 Combine like terms: 53.5 + -15 = 38.5 -6.5t = 38.5 Divide each side by '-6.5'. t = -5.923076923 Simplifying t = -5.923076923
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