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Simplifying -2(a + 3) = 2(6 + -2a) + 8a Reorder the terms: -2(3 + a) = 2(6 + -2a) + 8a (3 * -2 + a * -2) = 2(6 + -2a) + 8a (-6 + -2a) = 2(6 + -2a) + 8a -6 + -2a = (6 * 2 + -2a * 2) + 8a -6 + -2a = (12 + -4a) + 8a Combine like terms: -4a + 8a = 4a -6 + -2a = 12 + 4a Solving -6 + -2a = 12 + 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. -6 + -2a + -4a = 12 + 4a + -4a Combine like terms: -2a + -4a = -6a -6 + -6a = 12 + 4a + -4a Combine like terms: 4a + -4a = 0 -6 + -6a = 12 + 0 -6 + -6a = 12 Add '6' to each side of the equation. -6 + 6 + -6a = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6a = 12 + 6 -6a = 12 + 6 Combine like terms: 12 + 6 = 18 -6a = 18 Divide each side by '-6'. a = -3 Simplifying a = -3
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