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Simplifying 8a + 6(2a + -6) = 4a + -4 Reorder the terms: 8a + 6(-6 + 2a) = 4a + -4 8a + (-6 * 6 + 2a * 6) = 4a + -4 8a + (-36 + 12a) = 4a + -4 Reorder the terms: -36 + 8a + 12a = 4a + -4 Combine like terms: 8a + 12a = 20a -36 + 20a = 4a + -4 Reorder the terms: -36 + 20a = -4 + 4a Solving -36 + 20a = -4 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -36 + 20a + -4a = -4 + 4a + -4a Combine like terms: 20a + -4a = 16a -36 + 16a = -4 + 4a + -4a Combine like terms: 4a + -4a = 0 -36 + 16a = -4 + 0 -36 + 16a = -4 Add '36' to each side of the equation. -36 + 36 + 16a = -4 + 36 Combine like terms: -36 + 36 = 0 0 + 16a = -4 + 36 16a = -4 + 36 Combine like terms: -4 + 36 = 32 16a = 32 Divide each side by '16'. a = 2 Simplifying a = 2
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