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Simplifying 7a + 4(a + -9) = 6a + 4 Reorder the terms: 7a + 4(-9 + a) = 6a + 4 7a + (-9 * 4 + a * 4) = 6a + 4 7a + (-36 + 4a) = 6a + 4 Reorder the terms: -36 + 7a + 4a = 6a + 4 Combine like terms: 7a + 4a = 11a -36 + 11a = 6a + 4 Reorder the terms: -36 + 11a = 4 + 6a Solving -36 + 11a = 4 + 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. -36 + 11a + -6a = 4 + 6a + -6a Combine like terms: 11a + -6a = 5a -36 + 5a = 4 + 6a + -6a Combine like terms: 6a + -6a = 0 -36 + 5a = 4 + 0 -36 + 5a = 4 Add '36' to each side of the equation. -36 + 36 + 5a = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 5a = 4 + 36 5a = 4 + 36 Combine like terms: 4 + 36 = 40 5a = 40 Divide each side by '5'. a = 8 Simplifying a = 8
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