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Simplifying 44 = -8(1 + -5a) + 2(a + 5) 44 = (1 * -8 + -5a * -8) + 2(a + 5) 44 = (-8 + 40a) + 2(a + 5) Reorder the terms: 44 = -8 + 40a + 2(5 + a) 44 = -8 + 40a + (5 * 2 + a * 2) 44 = -8 + 40a + (10 + 2a) Reorder the terms: 44 = -8 + 10 + 40a + 2a Combine like terms: -8 + 10 = 2 44 = 2 + 40a + 2a Combine like terms: 40a + 2a = 42a 44 = 2 + 42a Solving 44 = 2 + 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. 44 + -42a = 2 + 42a + -42a Combine like terms: 42a + -42a = 0 44 + -42a = 2 + 0 44 + -42a = 2 Add '-44' to each side of the equation. 44 + -44 + -42a = 2 + -44 Combine like terms: 44 + -44 = 0 0 + -42a = 2 + -44 -42a = 2 + -44 Combine like terms: 2 + -44 = -42 -42a = -42 Divide each side by '-42'. a = 1 Simplifying a = 1
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