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Simplifying 5(2a + 4) = 4(a + -4) Reorder the terms: 5(4 + 2a) = 4(a + -4) (4 * 5 + 2a * 5) = 4(a + -4) (20 + 10a) = 4(a + -4) Reorder the terms: 20 + 10a = 4(-4 + a) 20 + 10a = (-4 * 4 + a * 4) 20 + 10a = (-16 + 4a) Solving 20 + 10a = -16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 20 + 10a + -4a = -16 + 4a + -4a Combine like terms: 10a + -4a = 6a 20 + 6a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 20 + 6a = -16 + 0 20 + 6a = -16 Add '-20' to each side of the equation. 20 + -20 + 6a = -16 + -20 Combine like terms: 20 + -20 = 0 0 + 6a = -16 + -20 6a = -16 + -20 Combine like terms: -16 + -20 = -36 6a = -36 Divide each side by '6'. a = -6 Simplifying a = -6
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