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Simplifying 19.23 + -6.7t = -19.74 + -13.5t + -18.83 Reorder the terms: 19.23 + -6.7t = -19.74 + -18.83 + -13.5t Combine like terms: -19.74 + -18.83 = -38.57 19.23 + -6.7t = -38.57 + -13.5t Solving 19.23 + -6.7t = -38.57 + -13.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '13.5t' to each side of the equation. 19.23 + -6.7t + 13.5t = -38.57 + -13.5t + 13.5t Combine like terms: -6.7t + 13.5t = 6.8t 19.23 + 6.8t = -38.57 + -13.5t + 13.5t Combine like terms: -13.5t + 13.5t = 0.0 19.23 + 6.8t = -38.57 + 0.0 19.23 + 6.8t = -38.57 Add '-19.23' to each side of the equation. 19.23 + -19.23 + 6.8t = -38.57 + -19.23 Combine like terms: 19.23 + -19.23 = 0.00 0.00 + 6.8t = -38.57 + -19.23 6.8t = -38.57 + -19.23 Combine like terms: -38.57 + -19.23 = -57.8 6.8t = -57.8 Divide each side by '6.8'. t = -8.5 Simplifying t = -8.5
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