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Simplifying 5 + 4a + -1(2a + 2) + -1(5a + 7) = 0 Reorder the terms: 5 + 4a + -1(2 + 2a) + -1(5a + 7) = 0 5 + 4a + (2 * -1 + 2a * -1) + -1(5a + 7) = 0 5 + 4a + (-2 + -2a) + -1(5a + 7) = 0 Reorder the terms: 5 + 4a + -2 + -2a + -1(7 + 5a) = 0 5 + 4a + -2 + -2a + (7 * -1 + 5a * -1) = 0 5 + 4a + -2 + -2a + (-7 + -5a) = 0 Reorder the terms: 5 + -2 + -7 + 4a + -2a + -5a = 0 Combine like terms: 5 + -2 = 3 3 + -7 + 4a + -2a + -5a = 0 Combine like terms: 3 + -7 = -4 -4 + 4a + -2a + -5a = 0 Combine like terms: 4a + -2a = 2a -4 + 2a + -5a = 0 Combine like terms: 2a + -5a = -3a -4 + -3a = 0 Solving -4 + -3a = 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 + -3a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3a = 0 + 4 -3a = 0 + 4 Combine like terms: 0 + 4 = 4 -3a = 4 Divide each side by '-3'. a = -1.333333333 Simplifying a = -1.333333333
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