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