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Simplifying 2a + 4(2 + -1a) + -6(1 + a) = 18 2a + (2 * 4 + -1a * 4) + -6(1 + a) = 18 2a + (8 + -4a) + -6(1 + a) = 18 2a + 8 + -4a + (1 * -6 + a * -6) = 18 2a + 8 + -4a + (-6 + -6a) = 18 Reorder the terms: 8 + -6 + 2a + -4a + -6a = 18 Combine like terms: 8 + -6 = 2 2 + 2a + -4a + -6a = 18 Combine like terms: 2a + -4a = -2a 2 + -2a + -6a = 18 Combine like terms: -2a + -6a = -8a 2 + -8a = 18 Solving 2 + -8a = 18 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -8a = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -8a = 18 + -2 -8a = 18 + -2 Combine like terms: 18 + -2 = 16 -8a = 16 Divide each side by '-8'. a = -2 Simplifying a = -2
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