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