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Simplifying 2(a + -4) = 4(2a + 1) Reorder the terms: 2(-4 + a) = 4(2a + 1) (-4 * 2 + a * 2) = 4(2a + 1) (-8 + 2a) = 4(2a + 1) Reorder the terms: -8 + 2a = 4(1 + 2a) -8 + 2a = (1 * 4 + 2a * 4) -8 + 2a = (4 + 8a) Solving -8 + 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. -8 + 2a + -8a = 4 + 8a + -8a Combine like terms: 2a + -8a = -6a -8 + -6a = 4 + 8a + -8a Combine like terms: 8a + -8a = 0 -8 + -6a = 4 + 0 -8 + -6a = 4 Add '8' to each side of the equation. -8 + 8 + -6a = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -6a = 4 + 8 -6a = 4 + 8 Combine like terms: 4 + 8 = 12 -6a = 12 Divide each side by '-6'. a = -2 Simplifying a = -2
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