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Simplifying -19.87 + 0.1t = 19.7 + 16.2t + 20 Reorder the terms: -19.87 + 0.1t = 19.7 + 20 + 16.2t Combine like terms: 19.7 + 20 = 39.7 -19.87 + 0.1t = 39.7 + 16.2t Solving -19.87 + 0.1t = 39.7 + 16.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16.2t' to each side of the equation. -19.87 + 0.1t + -16.2t = 39.7 + 16.2t + -16.2t Combine like terms: 0.1t + -16.2t = -16.1t -19.87 + -16.1t = 39.7 + 16.2t + -16.2t Combine like terms: 16.2t + -16.2t = 0.0 -19.87 + -16.1t = 39.7 + 0.0 -19.87 + -16.1t = 39.7 Add '19.87' to each side of the equation. -19.87 + 19.87 + -16.1t = 39.7 + 19.87 Combine like terms: -19.87 + 19.87 = 0.00 0.00 + -16.1t = 39.7 + 19.87 -16.1t = 39.7 + 19.87 Combine like terms: 39.7 + 19.87 = 59.57 -16.1t = 59.57 Divide each side by '-16.1'. t = -3.7 Simplifying t = -3.7
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