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Simplifying -4(a + 6) = a + -9 Reorder the terms: -4(6 + a) = a + -9 (6 * -4 + a * -4) = a + -9 (-24 + -4a) = a + -9 Reorder the terms: -24 + -4a = -9 + a Solving -24 + -4a = -9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -24 + -4a + -1a = -9 + a + -1a Combine like terms: -4a + -1a = -5a -24 + -5a = -9 + a + -1a Combine like terms: a + -1a = 0 -24 + -5a = -9 + 0 -24 + -5a = -9 Add '24' to each side of the equation. -24 + 24 + -5a = -9 + 24 Combine like terms: -24 + 24 = 0 0 + -5a = -9 + 24 -5a = -9 + 24 Combine like terms: -9 + 24 = 15 -5a = 15 Divide each side by '-5'. a = -3 Simplifying a = -3
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