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