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Simplifying 19.59 + 17.62 + 9.8t = 6.9t + -19.63 Combine like terms: 19.59 + 17.62 = 37.21 37.21 + 9.8t = 6.9t + -19.63 Reorder the terms: 37.21 + 9.8t = -19.63 + 6.9t Solving 37.21 + 9.8t = -19.63 + 6.9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6.9t' to each side of the equation. 37.21 + 9.8t + -6.9t = -19.63 + 6.9t + -6.9t Combine like terms: 9.8t + -6.9t = 2.9t 37.21 + 2.9t = -19.63 + 6.9t + -6.9t Combine like terms: 6.9t + -6.9t = 0.0 37.21 + 2.9t = -19.63 + 0.0 37.21 + 2.9t = -19.63 Add '-37.21' to each side of the equation. 37.21 + -37.21 + 2.9t = -19.63 + -37.21 Combine like terms: 37.21 + -37.21 = 0.00 0.00 + 2.9t = -19.63 + -37.21 2.9t = -19.63 + -37.21 Combine like terms: -19.63 + -37.21 = -56.84 2.9t = -56.84 Divide each side by '2.9'. t = -19.6 Simplifying t = -19.6
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