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Simplifying -4(5 + -3a) = 6a + 22 (5 * -4 + -3a * -4) = 6a + 22 (-20 + 12a) = 6a + 22 Reorder the terms: -20 + 12a = 22 + 6a Solving -20 + 12a = 22 + 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. -20 + 12a + -6a = 22 + 6a + -6a Combine like terms: 12a + -6a = 6a -20 + 6a = 22 + 6a + -6a Combine like terms: 6a + -6a = 0 -20 + 6a = 22 + 0 -20 + 6a = 22 Add '20' to each side of the equation. -20 + 20 + 6a = 22 + 20 Combine like terms: -20 + 20 = 0 0 + 6a = 22 + 20 6a = 22 + 20 Combine like terms: 22 + 20 = 42 6a = 42 Divide each side by '6'. a = 7 Simplifying a = 7
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