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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 = -26a 35 + -26a = -35 + 6a + -6a Combine like terms: 6a + -6a = 0 35 + -26a = -35 + 0 35 + -26a = -35 Add '-35' to each side of the equation. 35 + -35 + -26a = -35 + -35 Combine like terms: 35 + -35 = 0 0 + -26a = -35 + -35 -26a = -35 + -35 Combine like terms: -35 + -35 = -70 -26a = -70 Divide each side by '-26'. a = 2.692307692 Simplifying a = 2.692307692
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