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Simplifying -5a + 4a + 16 = 4 + -5a Reorder the terms: 16 + -5a + 4a = 4 + -5a Combine like terms: -5a + 4a = -1a 16 + -1a = 4 + -5a Solving 16 + -1a = 4 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 16 + -1a + 5a = 4 + -5a + 5a Combine like terms: -1a + 5a = 4a 16 + 4a = 4 + -5a + 5a Combine like terms: -5a + 5a = 0 16 + 4a = 4 + 0 16 + 4a = 4 Add '-16' to each side of the equation. 16 + -16 + 4a = 4 + -16 Combine like terms: 16 + -16 = 0 0 + 4a = 4 + -16 4a = 4 + -16 Combine like terms: 4 + -16 = -12 4a = -12 Divide each side by '4'. a = -3 Simplifying a = -3
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