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Simplifying -6.5t + 15.69 = -16.1 + -9.6t + -19.36 Reorder the terms: 15.69 + -6.5t = -16.1 + -9.6t + -19.36 Reorder the terms: 15.69 + -6.5t = -16.1 + -19.36 + -9.6t Combine like terms: -16.1 + -19.36 = -35.46 15.69 + -6.5t = -35.46 + -9.6t Solving 15.69 + -6.5t = -35.46 + -9.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9.6t' to each side of the equation. 15.69 + -6.5t + 9.6t = -35.46 + -9.6t + 9.6t Combine like terms: -6.5t + 9.6t = 3.1t 15.69 + 3.1t = -35.46 + -9.6t + 9.6t Combine like terms: -9.6t + 9.6t = 0.0 15.69 + 3.1t = -35.46 + 0.0 15.69 + 3.1t = -35.46 Add '-15.69' to each side of the equation. 15.69 + -15.69 + 3.1t = -35.46 + -15.69 Combine like terms: 15.69 + -15.69 = 0.00 0.00 + 3.1t = -35.46 + -15.69 3.1t = -35.46 + -15.69 Combine like terms: -35.46 + -15.69 = -51.15 3.1t = -51.15 Divide each side by '3.1'. t = -16.5 Simplifying t = -16.5
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