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Simplifying 4 + 7a + -1(3a + 4) + -1(2a + 4) = 0 Reorder the terms: 4 + 7a + -1(4 + 3a) + -1(2a + 4) = 0 4 + 7a + (4 * -1 + 3a * -1) + -1(2a + 4) = 0 4 + 7a + (-4 + -3a) + -1(2a + 4) = 0 Reorder the terms: 4 + 7a + -4 + -3a + -1(4 + 2a) = 0 4 + 7a + -4 + -3a + (4 * -1 + 2a * -1) = 0 4 + 7a + -4 + -3a + (-4 + -2a) = 0 Reorder the terms: 4 + -4 + -4 + 7a + -3a + -2a = 0 Combine like terms: 4 + -4 = 0 0 + -4 + 7a + -3a + -2a = 0 -4 + 7a + -3a + -2a = 0 Combine like terms: 7a + -3a = 4a -4 + 4a + -2a = 0 Combine like terms: 4a + -2a = 2a -4 + 2a = 0 Solving -4 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 2a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = 0 + 4 2a = 0 + 4 Combine like terms: 0 + 4 = 4 2a = 4 Divide each side by '2'. a = 2 Simplifying a = 2
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