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Simplifying 2(a + -41) = 4a + -2(2a + 4) Reorder the terms: 2(-41 + a) = 4a + -2(2a + 4) (-41 * 2 + a * 2) = 4a + -2(2a + 4) (-82 + 2a) = 4a + -2(2a + 4) Reorder the terms: -82 + 2a = 4a + -2(4 + 2a) -82 + 2a = 4a + (4 * -2 + 2a * -2) -82 + 2a = 4a + (-8 + -4a) Reorder the terms: -82 + 2a = -8 + 4a + -4a Combine like terms: 4a + -4a = 0 -82 + 2a = -8 + 0 -82 + 2a = -8 Solving -82 + 2a = -8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '82' to each side of the equation. -82 + 82 + 2a = -8 + 82 Combine like terms: -82 + 82 = 0 0 + 2a = -8 + 82 2a = -8 + 82 Combine like terms: -8 + 82 = 74 2a = 74 Divide each side by '2'. a = 37 Simplifying a = 37
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