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Simplifying 4(1 + -1a) = -6a + 14 (1 * 4 + -1a * 4) = -6a + 14 (4 + -4a) = -6a + 14 Reorder the terms: 4 + -4a = 14 + -6a Solving 4 + -4a = 14 + -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. 4 + -4a + 6a = 14 + -6a + 6a Combine like terms: -4a + 6a = 2a 4 + 2a = 14 + -6a + 6a Combine like terms: -6a + 6a = 0 4 + 2a = 14 + 0 4 + 2a = 14 Add '-4' to each side of the equation. 4 + -4 + 2a = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 2a = 14 + -4 2a = 14 + -4 Combine like terms: 14 + -4 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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