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Simplifying 2a + 4(a + -4) = 38 Reorder the terms: 2a + 4(-4 + a) = 38 2a + (-4 * 4 + a * 4) = 38 2a + (-16 + 4a) = 38 Reorder the terms: -16 + 2a + 4a = 38 Combine like terms: 2a + 4a = 6a -16 + 6a = 38 Solving -16 + 6a = 38 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 + 6a = 38 + 16 Combine like terms: -16 + 16 = 0 0 + 6a = 38 + 16 6a = 38 + 16 Combine like terms: 38 + 16 = 54 6a = 54 Divide each side by '6'. a = 9 Simplifying a = 9
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