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Simplifying 19.32 + -12.87 + 17.5t = 16.6t + -11.46 Combine like terms: 19.32 + -12.87 = 6.45 6.45 + 17.5t = 16.6t + -11.46 Reorder the terms: 6.45 + 17.5t = -11.46 + 16.6t Solving 6.45 + 17.5t = -11.46 + 16.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16.6t' to each side of the equation. 6.45 + 17.5t + -16.6t = -11.46 + 16.6t + -16.6t Combine like terms: 17.5t + -16.6t = 0.9t 6.45 + 0.9t = -11.46 + 16.6t + -16.6t Combine like terms: 16.6t + -16.6t = 0.0 6.45 + 0.9t = -11.46 + 0.0 6.45 + 0.9t = -11.46 Add '-6.45' to each side of the equation. 6.45 + -6.45 + 0.9t = -11.46 + -6.45 Combine like terms: 6.45 + -6.45 = 0.00 0.00 + 0.9t = -11.46 + -6.45 0.9t = -11.46 + -6.45 Combine like terms: -11.46 + -6.45 = -17.91 0.9t = -17.91 Divide each side by '0.9'. t = -19.9 Simplifying t = -19.9
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