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Simplifying -6(7t + -1) + 19 + -14t = 0 Reorder the terms: -6(-1 + 7t) + 19 + -14t = 0 (-1 * -6 + 7t * -6) + 19 + -14t = 0 (6 + -42t) + 19 + -14t = 0 Reorder the terms: 6 + 19 + -42t + -14t = 0 Combine like terms: 6 + 19 = 25 25 + -42t + -14t = 0 Combine like terms: -42t + -14t = -56t 25 + -56t = 0 Solving 25 + -56t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -56t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -56t = 0 + -25 -56t = 0 + -25 Combine like terms: 0 + -25 = -25 -56t = -25 Divide each side by '-56'. t = 0.4464285714 Simplifying t = 0.4464285714
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