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Simplifying -7(-6x + -5 + 2a) = 0 Reorder the terms: -7(-5 + 2a + -6x) = 0 (-5 * -7 + 2a * -7 + -6x * -7) = 0 (35 + -14a + 42x) = 0 Solving 35 + -14a + 42x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -14a + -35 + 42x = 0 + -35 Reorder the terms: 35 + -35 + -14a + 42x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -14a + 42x = 0 + -35 -14a + 42x = 0 + -35 Combine like terms: 0 + -35 = -35 -14a + 42x = -35 Add '-42x' to each side of the equation. -14a + 42x + -42x = -35 + -42x Combine like terms: 42x + -42x = 0 -14a + 0 = -35 + -42x -14a = -35 + -42x Divide each side by '-14'. a = 2.5 + 3x Simplifying a = 2.5 + 3x
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