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Simplifying -7(-6t + -2 + 8a) = 0 Reorder the terms: -7(-2 + 8a + -6t) = 0 (-2 * -7 + 8a * -7 + -6t * -7) = 0 (14 + -56a + 42t) = 0 Solving 14 + -56a + 42t = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -56a + -14 + 42t = 0 + -14 Reorder the terms: 14 + -14 + -56a + 42t = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -56a + 42t = 0 + -14 -56a + 42t = 0 + -14 Combine like terms: 0 + -14 = -14 -56a + 42t = -14 Add '-42t' to each side of the equation. -56a + 42t + -42t = -14 + -42t Combine like terms: 42t + -42t = 0 -56a + 0 = -14 + -42t -56a = -14 + -42t Divide each side by '-56'. a = 0.25 + 0.75t Simplifying a = 0.25 + 0.75t
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