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Simplifying -4(5 + -3a) = 3a + 34 (5 * -4 + -3a * -4) = 3a + 34 (-20 + 12a) = 3a + 34 Reorder the terms: -20 + 12a = 34 + 3a Solving -20 + 12a = 34 + 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. -20 + 12a + -3a = 34 + 3a + -3a Combine like terms: 12a + -3a = 9a -20 + 9a = 34 + 3a + -3a Combine like terms: 3a + -3a = 0 -20 + 9a = 34 + 0 -20 + 9a = 34 Add '20' to each side of the equation. -20 + 20 + 9a = 34 + 20 Combine like terms: -20 + 20 = 0 0 + 9a = 34 + 20 9a = 34 + 20 Combine like terms: 34 + 20 = 54 9a = 54 Divide each side by '9'. a = 6 Simplifying a = 6
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