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Simplifying 4(a + 5) = 5 + a Reorder the terms: 4(5 + a) = 5 + a (5 * 4 + a * 4) = 5 + a (20 + 4a) = 5 + a Solving 20 + 4a = 5 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 20 + 4a + -1a = 5 + a + -1a Combine like terms: 4a + -1a = 3a 20 + 3a = 5 + a + -1a Combine like terms: a + -1a = 0 20 + 3a = 5 + 0 20 + 3a = 5 Add '-20' to each side of the equation. 20 + -20 + 3a = 5 + -20 Combine like terms: 20 + -20 = 0 0 + 3a = 5 + -20 3a = 5 + -20 Combine like terms: 5 + -20 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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