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Simplifying 7 + 3a + -1(5a + 2) + -1(3a + 9) = 0 Reorder the terms: 7 + 3a + -1(2 + 5a) + -1(3a + 9) = 0 7 + 3a + (2 * -1 + 5a * -1) + -1(3a + 9) = 0 7 + 3a + (-2 + -5a) + -1(3a + 9) = 0 Reorder the terms: 7 + 3a + -2 + -5a + -1(9 + 3a) = 0 7 + 3a + -2 + -5a + (9 * -1 + 3a * -1) = 0 7 + 3a + -2 + -5a + (-9 + -3a) = 0 Reorder the terms: 7 + -2 + -9 + 3a + -5a + -3a = 0 Combine like terms: 7 + -2 = 5 5 + -9 + 3a + -5a + -3a = 0 Combine like terms: 5 + -9 = -4 -4 + 3a + -5a + -3a = 0 Combine like terms: 3a + -5a = -2a -4 + -2a + -3a = 0 Combine like terms: -2a + -3a = -5a -4 + -5a = 0 Solving -4 + -5a = 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 + -5a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5a = 0 + 4 -5a = 0 + 4 Combine like terms: 0 + 4 = 4 -5a = 4 Divide each side by '-5'. a = -0.8 Simplifying a = -0.8
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