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Simplifying 2(a + -6) = -4a + -1(2a + 12) Reorder the terms: 2(-6 + a) = -4a + -1(2a + 12) (-6 * 2 + a * 2) = -4a + -1(2a + 12) (-12 + 2a) = -4a + -1(2a + 12) Reorder the terms: -12 + 2a = -4a + -1(12 + 2a) -12 + 2a = -4a + (12 * -1 + 2a * -1) -12 + 2a = -4a + (-12 + -2a) Reorder the terms: -12 + 2a = -12 + -4a + -2a Combine like terms: -4a + -2a = -6a -12 + 2a = -12 + -6a Add '12' to each side of the equation. -12 + 12 + 2a = -12 + 12 + -6a Combine like terms: -12 + 12 = 0 0 + 2a = -12 + 12 + -6a 2a = -12 + 12 + -6a Combine like terms: -12 + 12 = 0 2a = 0 + -6a 2a = -6a Solving 2a = -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. 2a + 6a = -6a + 6a Combine like terms: 2a + 6a = 8a 8a = -6a + 6a Combine like terms: -6a + 6a = 0 8a = 0 Divide each side by '8'. a = 0 Simplifying a = 0
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