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Simplifying -4(5 + -3a) = 4a + 52 (5 * -4 + -3a * -4) = 4a + 52 (-20 + 12a) = 4a + 52 Reorder the terms: -20 + 12a = 52 + 4a Solving -20 + 12a = 52 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -20 + 12a + -4a = 52 + 4a + -4a Combine like terms: 12a + -4a = 8a -20 + 8a = 52 + 4a + -4a Combine like terms: 4a + -4a = 0 -20 + 8a = 52 + 0 -20 + 8a = 52 Add '20' to each side of the equation. -20 + 20 + 8a = 52 + 20 Combine like terms: -20 + 20 = 0 0 + 8a = 52 + 20 8a = 52 + 20 Combine like terms: 52 + 20 = 72 8a = 72 Divide each side by '8'. a = 9 Simplifying a = 9
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