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Simplifying -2a + -9 = 6a + 16 Reorder the terms: -9 + -2a = 6a + 16 Reorder the terms: -9 + -2a = 16 + 6a Solving -9 + -2a = 16 + 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. -9 + -2a + -6a = 16 + 6a + -6a Combine like terms: -2a + -6a = -8a -9 + -8a = 16 + 6a + -6a Combine like terms: 6a + -6a = 0 -9 + -8a = 16 + 0 -9 + -8a = 16 Add '9' to each side of the equation. -9 + 9 + -8a = 16 + 9 Combine like terms: -9 + 9 = 0 0 + -8a = 16 + 9 -8a = 16 + 9 Combine like terms: 16 + 9 = 25 -8a = 25 Divide each side by '-8'. a = -3.125 Simplifying a = -3.125
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