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Simplifying 14(a + 8) = (8a + 9) Reorder the terms: 14(8 + a) = (8a + 9) (8 * 14 + a * 14) = (8a + 9) (112 + 14a) = (8a + 9) Reorder the terms: 112 + 14a = (9 + 8a) Remove parenthesis around (9 + 8a) 112 + 14a = 9 + 8a Solving 112 + 14a = 9 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 112 + 14a + -8a = 9 + 8a + -8a Combine like terms: 14a + -8a = 6a 112 + 6a = 9 + 8a + -8a Combine like terms: 8a + -8a = 0 112 + 6a = 9 + 0 112 + 6a = 9 Add '-112' to each side of the equation. 112 + -112 + 6a = 9 + -112 Combine like terms: 112 + -112 = 0 0 + 6a = 9 + -112 6a = 9 + -112 Combine like terms: 9 + -112 = -103 6a = -103 Divide each side by '6'. a = -17.16666667 Simplifying a = -17.16666667
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