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Simplifying -2(a + -1) = 4(2a + 1) Reorder the terms: -2(-1 + a) = 4(2a + 1) (-1 * -2 + a * -2) = 4(2a + 1) (2 + -2a) = 4(2a + 1) Reorder the terms: 2 + -2a = 4(1 + 2a) 2 + -2a = (1 * 4 + 2a * 4) 2 + -2a = (4 + 8a) Solving 2 + -2a = 4 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 2 + -2a + -8a = 4 + 8a + -8a Combine like terms: -2a + -8a = -10a 2 + -10a = 4 + 8a + -8a Combine like terms: 8a + -8a = 0 2 + -10a = 4 + 0 2 + -10a = 4 Add '-2' to each side of the equation. 2 + -2 + -10a = 4 + -2 Combine like terms: 2 + -2 = 0 0 + -10a = 4 + -2 -10a = 4 + -2 Combine like terms: 4 + -2 = 2 -10a = 2 Divide each side by '-10'. a = -0.2 Simplifying a = -0.2
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