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Simplifying 2(a + -4) = 4a + -1(a + 4) Reorder the terms: 2(-4 + a) = 4a + -1(a + 4) (-4 * 2 + a * 2) = 4a + -1(a + 4) (-8 + 2a) = 4a + -1(a + 4) Reorder the terms: -8 + 2a = 4a + -1(4 + a) -8 + 2a = 4a + (4 * -1 + a * -1) -8 + 2a = 4a + (-4 + -1a) Reorder the terms: -8 + 2a = -4 + 4a + -1a Combine like terms: 4a + -1a = 3a -8 + 2a = -4 + 3a Solving -8 + 2a = -4 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -8 + 2a + -3a = -4 + 3a + -3a Combine like terms: 2a + -3a = -1a -8 + -1a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + -1a = -4 + 0 -8 + -1a = -4 Add '8' to each side of the equation. -8 + 8 + -1a = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -1a = -4 + 8 -1a = -4 + 8 Combine like terms: -4 + 8 = 4 -1a = 4 Divide each side by '-1'. a = -4 Simplifying a = -4
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