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Simplifying 11a + 16 = 2a + 7 Reorder the terms: 16 + 11a = 2a + 7 Reorder the terms: 16 + 11a = 7 + 2a Solving 16 + 11a = 7 + 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 + 11a + -2a = 7 + 2a + -2a Combine like terms: 11a + -2a = 9a 16 + 9a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 16 + 9a = 7 + 0 16 + 9a = 7 Add '-16' to each side of the equation. 16 + -16 + 9a = 7 + -16 Combine like terms: 16 + -16 = 0 0 + 9a = 7 + -16 9a = 7 + -16 Combine like terms: 7 + -16 = -9 9a = -9 Divide each side by '9'. a = -1 Simplifying a = -1
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