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Simplifying -16.5t + 15 = -9.7t + 43.8 Reorder the terms: 15 + -16.5t = -9.7t + 43.8 Reorder the terms: 15 + -16.5t = 43.8 + -9.7t Solving 15 + -16.5t = 43.8 + -9.7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9.7t' to each side of the equation. 15 + -16.5t + 9.7t = 43.8 + -9.7t + 9.7t Combine like terms: -16.5t + 9.7t = -6.8t 15 + -6.8t = 43.8 + -9.7t + 9.7t Combine like terms: -9.7t + 9.7t = 0.0 15 + -6.8t = 43.8 + 0.0 15 + -6.8t = 43.8 Add '-15' to each side of the equation. 15 + -15 + -6.8t = 43.8 + -15 Combine like terms: 15 + -15 = 0 0 + -6.8t = 43.8 + -15 -6.8t = 43.8 + -15 Combine like terms: 43.8 + -15 = 28.8 -6.8t = 28.8 Divide each side by '-6.8'. t = -4.235294118 Simplifying t = -4.235294118
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