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Simplifying 9a + 4b + -7a + 16b + -4b + 2a = 0 Reorder the terms: 9a + -7a + 2a + 4b + 16b + -4b = 0 Combine like terms: 9a + -7a = 2a 2a + 2a + 4b + 16b + -4b = 0 Combine like terms: 2a + 2a = 4a 4a + 4b + 16b + -4b = 0 Combine like terms: 4b + 16b = 20b 4a + 20b + -4b = 0 Combine like terms: 20b + -4b = 16b 4a + 16b = 0 Solving 4a + 16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16b' to each side of the equation. 4a + 16b + -16b = 0 + -16b Combine like terms: 16b + -16b = 0 4a + 0 = 0 + -16b 4a = 0 + -16b Remove the zero: 4a = -16b Divide each side by '4'. a = -4b Simplifying a = -4b
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