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Simplifying 2(a + -4) = 5a + -4a + 8 Reorder the terms: 2(-4 + a) = 5a + -4a + 8 (-4 * 2 + a * 2) = 5a + -4a + 8 (-8 + 2a) = 5a + -4a + 8 Reorder the terms: -8 + 2a = 8 + 5a + -4a Combine like terms: 5a + -4a = 1a -8 + 2a = 8 + 1a Solving -8 + 2a = 8 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -8 + 2a + -1a = 8 + 1a + -1a Combine like terms: 2a + -1a = 1a -8 + 1a = 8 + 1a + -1a Combine like terms: 1a + -1a = 0 -8 + 1a = 8 + 0 -8 + 1a = 8 Add '8' to each side of the equation. -8 + 8 + 1a = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 1a = 8 + 8 1a = 8 + 8 Combine like terms: 8 + 8 = 16 1a = 16 Divide each side by '1'. a = 16 Simplifying a = 16
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