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Simplifying 5.71t + -1(12.92 + -6.71t) = -14.83 5.71t + (12.92 * -1 + -6.71t * -1) = -14.83 5.71t + (-12.92 + 6.71t) = -14.83 Reorder the terms: -12.92 + 5.71t + 6.71t = -14.83 Combine like terms: 5.71t + 6.71t = 12.42t -12.92 + 12.42t = -14.83 Solving -12.92 + 12.42t = -14.83 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12.92' to each side of the equation. -12.92 + 12.92 + 12.42t = -14.83 + 12.92 Combine like terms: -12.92 + 12.92 = 0.00 0.00 + 12.42t = -14.83 + 12.92 12.42t = -14.83 + 12.92 Combine like terms: -14.83 + 12.92 = -1.91 12.42t = -1.91 Divide each side by '12.42'. t = -0.153784219 Simplifying t = -0.153784219
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