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Simplifying 6 + 3a + -1(5a + 5) + -1(4a + 5) = 0 Reorder the terms: 6 + 3a + -1(5 + 5a) + -1(4a + 5) = 0 6 + 3a + (5 * -1 + 5a * -1) + -1(4a + 5) = 0 6 + 3a + (-5 + -5a) + -1(4a + 5) = 0 Reorder the terms: 6 + 3a + -5 + -5a + -1(5 + 4a) = 0 6 + 3a + -5 + -5a + (5 * -1 + 4a * -1) = 0 6 + 3a + -5 + -5a + (-5 + -4a) = 0 Reorder the terms: 6 + -5 + -5 + 3a + -5a + -4a = 0 Combine like terms: 6 + -5 = 1 1 + -5 + 3a + -5a + -4a = 0 Combine like terms: 1 + -5 = -4 -4 + 3a + -5a + -4a = 0 Combine like terms: 3a + -5a = -2a -4 + -2a + -4a = 0 Combine like terms: -2a + -4a = -6a -4 + -6a = 0 Solving -4 + -6a = 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 + -6a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -6a = 0 + 4 -6a = 0 + 4 Combine like terms: 0 + 4 = 4 -6a = 4 Divide each side by '-6'. a = -0.6666666667 Simplifying a = -0.6666666667
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