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Simplifying 5(a + -7) = 3a + 9 Reorder the terms: 5(-7 + a) = 3a + 9 (-7 * 5 + a * 5) = 3a + 9 (-35 + 5a) = 3a + 9 Reorder the terms: -35 + 5a = 9 + 3a Solving -35 + 5a = 9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -35 + 5a + -3a = 9 + 3a + -3a Combine like terms: 5a + -3a = 2a -35 + 2a = 9 + 3a + -3a Combine like terms: 3a + -3a = 0 -35 + 2a = 9 + 0 -35 + 2a = 9 Add '35' to each side of the equation. -35 + 35 + 2a = 9 + 35 Combine like terms: -35 + 35 = 0 0 + 2a = 9 + 35 2a = 9 + 35 Combine like terms: 9 + 35 = 44 2a = 44 Divide each side by '2'. a = 22 Simplifying a = 22
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