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Simplifying 6(4a + -2) = 4(2a + 1) Reorder the terms: 6(-2 + 4a) = 4(2a + 1) (-2 * 6 + 4a * 6) = 4(2a + 1) (-12 + 24a) = 4(2a + 1) Reorder the terms: -12 + 24a = 4(1 + 2a) -12 + 24a = (1 * 4 + 2a * 4) -12 + 24a = (4 + 8a) Solving -12 + 24a = 4 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -12 + 24a + -8a = 4 + 8a + -8a Combine like terms: 24a + -8a = 16a -12 + 16a = 4 + 8a + -8a Combine like terms: 8a + -8a = 0 -12 + 16a = 4 + 0 -12 + 16a = 4 Add '12' to each side of the equation. -12 + 12 + 16a = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 16a = 4 + 12 16a = 4 + 12 Combine like terms: 4 + 12 = 16 16a = 16 Divide each side by '16'. a = 1 Simplifying a = 1
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