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Simplifying 7(9 + 3) = 6(a + -6) Combine like terms: 9 + 3 = 12 7(12) = 6(a + -6) Multiply 7 * 12 84 = 6(a + -6) Reorder the terms: 84 = 6(-6 + a) 84 = (-6 * 6 + a * 6) 84 = (-36 + 6a) Solving 84 = -36 + 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. 84 + -6a = -36 + 6a + -6a Combine like terms: 6a + -6a = 0 84 + -6a = -36 + 0 84 + -6a = -36 Add '-84' to each side of the equation. 84 + -84 + -6a = -36 + -84 Combine like terms: 84 + -84 = 0 0 + -6a = -36 + -84 -6a = -36 + -84 Combine like terms: -36 + -84 = -120 -6a = -120 Divide each side by '-6'. a = 20 Simplifying a = 20
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