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Simplifying 4(a + 1) = 2(5 + -1a) Reorder the terms: 4(1 + a) = 2(5 + -1a) (1 * 4 + a * 4) = 2(5 + -1a) (4 + 4a) = 2(5 + -1a) 4 + 4a = (5 * 2 + -1a * 2) 4 + 4a = (10 + -2a) Solving 4 + 4a = 10 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 4 + 4a + 2a = 10 + -2a + 2a Combine like terms: 4a + 2a = 6a 4 + 6a = 10 + -2a + 2a Combine like terms: -2a + 2a = 0 4 + 6a = 10 + 0 4 + 6a = 10 Add '-4' to each side of the equation. 4 + -4 + 6a = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 6a = 10 + -4 6a = 10 + -4 Combine like terms: 10 + -4 = 6 6a = 6 Divide each side by '6'. a = 1 Simplifying a = 1
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