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Simplifying -5(a + -2) + -4(a + 1) = 0 Reorder the terms: -5(-2 + a) + -4(a + 1) = 0 (-2 * -5 + a * -5) + -4(a + 1) = 0 (10 + -5a) + -4(a + 1) = 0 Reorder the terms: 10 + -5a + -4(1 + a) = 0 10 + -5a + (1 * -4 + a * -4) = 0 10 + -5a + (-4 + -4a) = 0 Reorder the terms: 10 + -4 + -5a + -4a = 0 Combine like terms: 10 + -4 = 6 6 + -5a + -4a = 0 Combine like terms: -5a + -4a = -9a 6 + -9a = 0 Solving 6 + -9a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -9a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -9a = 0 + -6 -9a = 0 + -6 Combine like terms: 0 + -6 = -6 -9a = -6 Divide each side by '-9'. a = 0.6666666667 Simplifying a = 0.6666666667
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