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Simplifying 9(a + 7) = 14a + 23 Reorder the terms: 9(7 + a) = 14a + 23 (7 * 9 + a * 9) = 14a + 23 (63 + 9a) = 14a + 23 Reorder the terms: 63 + 9a = 23 + 14a Solving 63 + 9a = 23 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. 63 + 9a + -14a = 23 + 14a + -14a Combine like terms: 9a + -14a = -5a 63 + -5a = 23 + 14a + -14a Combine like terms: 14a + -14a = 0 63 + -5a = 23 + 0 63 + -5a = 23 Add '-63' to each side of the equation. 63 + -63 + -5a = 23 + -63 Combine like terms: 63 + -63 = 0 0 + -5a = 23 + -63 -5a = 23 + -63 Combine like terms: 23 + -63 = -40 -5a = -40 Divide each side by '-5'. a = 8 Simplifying a = 8
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