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Simplifying 4 + 6a + -1(5a + 5) + -1(4a + 8) = 0 Reorder the terms: 4 + 6a + -1(5 + 5a) + -1(4a + 8) = 0 4 + 6a + (5 * -1 + 5a * -1) + -1(4a + 8) = 0 4 + 6a + (-5 + -5a) + -1(4a + 8) = 0 Reorder the terms: 4 + 6a + -5 + -5a + -1(8 + 4a) = 0 4 + 6a + -5 + -5a + (8 * -1 + 4a * -1) = 0 4 + 6a + -5 + -5a + (-8 + -4a) = 0 Reorder the terms: 4 + -5 + -8 + 6a + -5a + -4a = 0 Combine like terms: 4 + -5 = -1 -1 + -8 + 6a + -5a + -4a = 0 Combine like terms: -1 + -8 = -9 -9 + 6a + -5a + -4a = 0 Combine like terms: 6a + -5a = 1a -9 + 1a + -4a = 0 Combine like terms: 1a + -4a = -3a -9 + -3a = 0 Solving -9 + -3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -3a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3a = 0 + 9 -3a = 0 + 9 Combine like terms: 0 + 9 = 9 -3a = 9 Divide each side by '-3'. a = -3 Simplifying a = -3
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