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Simplifying -5a + 16 + 7a = 2a + -4a Reorder the terms: 16 + -5a + 7a = 2a + -4a Combine like terms: -5a + 7a = 2a 16 + 2a = 2a + -4a Combine like terms: 2a + -4a = -2a 16 + 2a = -2a Solving 16 + 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. 16 + 2a + 2a = -2a + 2a Combine like terms: 2a + 2a = 4a 16 + 4a = -2a + 2a Combine like terms: -2a + 2a = 0 16 + 4a = 0 Add '-16' to each side of the equation. 16 + -16 + 4a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 4a = 0 + -16 4a = 0 + -16 Combine like terms: 0 + -16 = -16 4a = -16 Divide each side by '4'. a = -4 Simplifying a = -4
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