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Simplifying -5(4a + -7) = -6a + -8a Reorder the terms: -5(-7 + 4a) = -6a + -8a (-7 * -5 + 4a * -5) = -6a + -8a (35 + -20a) = -6a + -8a Combine like terms: -6a + -8a = -14a 35 + -20a = -14a Solving 35 + -20a = -14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14a' to each side of the equation. 35 + -20a + 14a = -14a + 14a Combine like terms: -20a + 14a = -6a 35 + -6a = -14a + 14a Combine like terms: -14a + 14a = 0 35 + -6a = 0 Add '-35' to each side of the equation. 35 + -35 + -6a = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -6a = 0 + -35 -6a = 0 + -35 Combine like terms: 0 + -35 = -35 -6a = -35 Divide each side by '-6'. a = 5.833333333 Simplifying a = 5.833333333
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