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Simplifying 5(a + 4) = 4(a + 1) Reorder the terms: 5(4 + a) = 4(a + 1) (4 * 5 + a * 5) = 4(a + 1) (20 + 5a) = 4(a + 1) Reorder the terms: 20 + 5a = 4(1 + a) 20 + 5a = (1 * 4 + a * 4) 20 + 5a = (4 + 4a) Solving 20 + 5a = 4 + 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 + 5a + -4a = 4 + 4a + -4a Combine like terms: 5a + -4a = 1a 20 + 1a = 4 + 4a + -4a Combine like terms: 4a + -4a = 0 20 + 1a = 4 + 0 20 + 1a = 4 Add '-20' to each side of the equation. 20 + -20 + 1a = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 1a = 4 + -20 1a = 4 + -20 Combine like terms: 4 + -20 = -16 1a = -16 Divide each side by '1'. a = -16 Simplifying a = -16
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