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Simplifying 4(3a + -6) = -3(2 + 2a) Reorder the terms: 4(-6 + 3a) = -3(2 + 2a) (-6 * 4 + 3a * 4) = -3(2 + 2a) (-24 + 12a) = -3(2 + 2a) -24 + 12a = (2 * -3 + 2a * -3) -24 + 12a = (-6 + -6a) Solving -24 + 12a = -6 + -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. -24 + 12a + 6a = -6 + -6a + 6a Combine like terms: 12a + 6a = 18a -24 + 18a = -6 + -6a + 6a Combine like terms: -6a + 6a = 0 -24 + 18a = -6 + 0 -24 + 18a = -6 Add '24' to each side of the equation. -24 + 24 + 18a = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 18a = -6 + 24 18a = -6 + 24 Combine like terms: -6 + 24 = 18 18a = 18 Divide each side by '18'. a = 1 Simplifying a = 1
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