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Simplifying 6(a + -4) = -3(2 + -3a) Reorder the terms: 6(-4 + a) = -3(2 + -3a) (-4 * 6 + a * 6) = -3(2 + -3a) (-24 + 6a) = -3(2 + -3a) -24 + 6a = (2 * -3 + -3a * -3) -24 + 6a = (-6 + 9a) Solving -24 + 6a = -6 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -24 + 6a + -9a = -6 + 9a + -9a Combine like terms: 6a + -9a = -3a -24 + -3a = -6 + 9a + -9a Combine like terms: 9a + -9a = 0 -24 + -3a = -6 + 0 -24 + -3a = -6 Add '24' to each side of the equation. -24 + 24 + -3a = -6 + 24 Combine like terms: -24 + 24 = 0 0 + -3a = -6 + 24 -3a = -6 + 24 Combine like terms: -6 + 24 = 18 -3a = 18 Divide each side by '-3'. a = -6 Simplifying a = -6
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