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Simplifying -7(-10t + -1 + 5a) = 0 Reorder the terms: -7(-1 + 5a + -10t) = 0 (-1 * -7 + 5a * -7 + -10t * -7) = 0 (7 + -35a + 70t) = 0 Solving 7 + -35a + 70t = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -35a + -7 + 70t = 0 + -7 Reorder the terms: 7 + -7 + -35a + 70t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -35a + 70t = 0 + -7 -35a + 70t = 0 + -7 Combine like terms: 0 + -7 = -7 -35a + 70t = -7 Add '-70t' to each side of the equation. -35a + 70t + -70t = -7 + -70t Combine like terms: 70t + -70t = 0 -35a + 0 = -7 + -70t -35a = -7 + -70t Divide each side by '-35'. a = 0.2 + 2t Simplifying a = 0.2 + 2t
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