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Simplifying 5(a + 4) = 2(a + -4) + 4a Reorder the terms: 5(4 + a) = 2(a + -4) + 4a (4 * 5 + a * 5) = 2(a + -4) + 4a (20 + 5a) = 2(a + -4) + 4a Reorder the terms: 20 + 5a = 2(-4 + a) + 4a 20 + 5a = (-4 * 2 + a * 2) + 4a 20 + 5a = (-8 + 2a) + 4a Combine like terms: 2a + 4a = 6a 20 + 5a = -8 + 6a Solving 20 + 5a = -8 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 20 + 5a + -6a = -8 + 6a + -6a Combine like terms: 5a + -6a = -1a 20 + -1a = -8 + 6a + -6a Combine like terms: 6a + -6a = 0 20 + -1a = -8 + 0 20 + -1a = -8 Add '-20' to each side of the equation. 20 + -20 + -1a = -8 + -20 Combine like terms: 20 + -20 = 0 0 + -1a = -8 + -20 -1a = -8 + -20 Combine like terms: -8 + -20 = -28 -1a = -28 Divide each side by '-1'. a = 28 Simplifying a = 28
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