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Simplifying -5a + 16 + 7a = 9a + -3a Reorder the terms: 16 + -5a + 7a = 9a + -3a Combine like terms: -5a + 7a = 2a 16 + 2a = 9a + -3a Combine like terms: 9a + -3a = 6a 16 + 2a = 6a Solving 16 + 2a = 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 16 + 2a + -6a = 6a + -6a Combine like terms: 2a + -6a = -4a 16 + -4a = 6a + -6a Combine like terms: 6a + -6a = 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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