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Simplifying 3.5t + -3.1 = 12.9t + 6.7t Reorder the terms: -3.1 + 3.5t = 12.9t + 6.7t Combine like terms: 12.9t + 6.7t = 19.6t -3.1 + 3.5t = 19.6t Solving -3.1 + 3.5t = 19.6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19.6t' to each side of the equation. -3.1 + 3.5t + -19.6t = 19.6t + -19.6t Combine like terms: 3.5t + -19.6t = -16.1t -3.1 + -16.1t = 19.6t + -19.6t Combine like terms: 19.6t + -19.6t = 0.0 -3.1 + -16.1t = 0.0 Add '3.1' to each side of the equation. -3.1 + 3.1 + -16.1t = 0.0 + 3.1 Combine like terms: -3.1 + 3.1 = 0.0 0.0 + -16.1t = 0.0 + 3.1 -16.1t = 0.0 + 3.1 Combine like terms: 0.0 + 3.1 = 3.1 -16.1t = 3.1 Divide each side by '-16.1'. t = -0.1925465839 Simplifying t = -0.1925465839
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