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Simplifying 4(a + 1) = 5(2 + -1a) Reorder the terms: 4(1 + a) = 5(2 + -1a) (1 * 4 + a * 4) = 5(2 + -1a) (4 + 4a) = 5(2 + -1a) 4 + 4a = (2 * 5 + -1a * 5) 4 + 4a = (10 + -5a) Solving 4 + 4a = 10 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 4 + 4a + 5a = 10 + -5a + 5a Combine like terms: 4a + 5a = 9a 4 + 9a = 10 + -5a + 5a Combine like terms: -5a + 5a = 0 4 + 9a = 10 + 0 4 + 9a = 10 Add '-4' to each side of the equation. 4 + -4 + 9a = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 9a = 10 + -4 9a = 10 + -4 Combine like terms: 10 + -4 = 6 9a = 6 Divide each side by '9'. a = 0.6666666667 Simplifying a = 0.6666666667
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