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