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Simplifying a + 9 = 6(a + -11) Reorder the terms: 9 + a = 6(a + -11) Reorder the terms: 9 + a = 6(-11 + a) 9 + a = (-11 * 6 + a * 6) 9 + a = (-66 + 6a) Solving 9 + a = -66 + 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 + a + -6a = -66 + 6a + -6a Combine like terms: a + -6a = -5a 9 + -5a = -66 + 6a + -6a Combine like terms: 6a + -6a = 0 9 + -5a = -66 + 0 9 + -5a = -66 Add '-9' to each side of the equation. 9 + -9 + -5a = -66 + -9 Combine like terms: 9 + -9 = 0 0 + -5a = -66 + -9 -5a = -66 + -9 Combine like terms: -66 + -9 = -75 -5a = -75 Divide each side by '-5'. a = 15 Simplifying a = 15
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