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Simplifying -3(6 + -6a) = 6a + 3(2a + 4) (6 * -3 + -6a * -3) = 6a + 3(2a + 4) (-18 + 18a) = 6a + 3(2a + 4) Reorder the terms: -18 + 18a = 6a + 3(4 + 2a) -18 + 18a = 6a + (4 * 3 + 2a * 3) -18 + 18a = 6a + (12 + 6a) Reorder the terms: -18 + 18a = 12 + 6a + 6a Combine like terms: 6a + 6a = 12a -18 + 18a = 12 + 12a Solving -18 + 18a = 12 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -18 + 18a + -12a = 12 + 12a + -12a Combine like terms: 18a + -12a = 6a -18 + 6a = 12 + 12a + -12a Combine like terms: 12a + -12a = 0 -18 + 6a = 12 + 0 -18 + 6a = 12 Add '18' to each side of the equation. -18 + 18 + 6a = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 6a = 12 + 18 6a = 12 + 18 Combine like terms: 12 + 18 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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