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Simplifying -5(4a + -7) = -6a + -35 Reorder the terms: -5(-7 + 4a) = -6a + -35 (-7 * -5 + 4a * -5) = -6a + -35 (35 + -20a) = -6a + -35 Reorder the terms: 35 + -20a = -35 + -6a Solving 35 + -20a = -35 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 35 + -20a + 6a = -35 + -6a + 6a Combine like terms: -20a + 6a = -14a 35 + -14a = -35 + -6a + 6a Combine like terms: -6a + 6a = 0 35 + -14a = -35 + 0 35 + -14a = -35 Add '-35' to each side of the equation. 35 + -35 + -14a = -35 + -35 Combine like terms: 35 + -35 = 0 0 + -14a = -35 + -35 -14a = -35 + -35 Combine like terms: -35 + -35 = -70 -14a = -70 Divide each side by '-14'. a = 5 Simplifying a = 5
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