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Simplifying (2a + 4) + 5(a + -4) = 0 Reorder the terms: (4 + 2a) + 5(a + -4) = 0 Remove parenthesis around (4 + 2a) 4 + 2a + 5(a + -4) = 0 Reorder the terms: 4 + 2a + 5(-4 + a) = 0 4 + 2a + (-4 * 5 + a * 5) = 0 4 + 2a + (-20 + 5a) = 0 Reorder the terms: 4 + -20 + 2a + 5a = 0 Combine like terms: 4 + -20 = -16 -16 + 2a + 5a = 0 Combine like terms: 2a + 5a = 7a -16 + 7a = 0 Solving -16 + 7a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 7a = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 7a = 0 + 16 7a = 0 + 16 Combine like terms: 0 + 16 = 16 7a = 16 Divide each side by '7'. a = 2.285714286 Simplifying a = 2.285714286
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