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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 Add '35' to each side of the equation. -35 + 35 + 20a = -35 + 35 + 6a Combine like terms: -35 + 35 = 0 0 + 20a = -35 + 35 + 6a 20a = -35 + 35 + 6a Combine like terms: -35 + 35 = 0 20a = 0 + 6a 20a = 6a Solving 20a = 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. 20a + -6a = 6a + -6a Combine like terms: 20a + -6a = 14a 14a = 6a + -6a Combine like terms: 6a + -6a = 0 14a = 0 Divide each side by '14'. a = 0 Simplifying a = 0
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