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Simplifying 2a + 9 = 11 + 7(a + -1) Reorder the terms: 9 + 2a = 11 + 7(a + -1) Reorder the terms: 9 + 2a = 11 + 7(-1 + a) 9 + 2a = 11 + (-1 * 7 + a * 7) 9 + 2a = 11 + (-7 + 7a) Combine like terms: 11 + -7 = 4 9 + 2a = 4 + 7a Solving 9 + 2a = 4 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 9 + 2a + -7a = 4 + 7a + -7a Combine like terms: 2a + -7a = -5a 9 + -5a = 4 + 7a + -7a Combine like terms: 7a + -7a = 0 9 + -5a = 4 + 0 9 + -5a = 4 Add '-9' to each side of the equation. 9 + -9 + -5a = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -5a = 4 + -9 -5a = 4 + -9 Combine like terms: 4 + -9 = -5 -5a = -5 Divide each side by '-5'. a = 1 Simplifying a = 1
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