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Simplifying 9(a + 4) = 7a Reorder the terms: 9(4 + a) = 7a (4 * 9 + a * 9) = 7a (36 + 9a) = 7a Solving 36 + 9a = 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. 36 + 9a + -7a = 7a + -7a Combine like terms: 9a + -7a = 2a 36 + 2a = 7a + -7a Combine like terms: 7a + -7a = 0 36 + 2a = 0 Add '-36' to each side of the equation. 36 + -36 + 2a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 2a = 0 + -36 2a = 0 + -36 Combine like terms: 0 + -36 = -36 2a = -36 Divide each side by '2'. a = -18 Simplifying a = -18
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