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Simplifying 9(3a + 6) = 6(a + 37) Reorder the terms: 9(6 + 3a) = 6(a + 37) (6 * 9 + 3a * 9) = 6(a + 37) (54 + 27a) = 6(a + 37) Reorder the terms: 54 + 27a = 6(37 + a) 54 + 27a = (37 * 6 + a * 6) 54 + 27a = (222 + 6a) Solving 54 + 27a = 222 + 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. 54 + 27a + -6a = 222 + 6a + -6a Combine like terms: 27a + -6a = 21a 54 + 21a = 222 + 6a + -6a Combine like terms: 6a + -6a = 0 54 + 21a = 222 + 0 54 + 21a = 222 Add '-54' to each side of the equation. 54 + -54 + 21a = 222 + -54 Combine like terms: 54 + -54 = 0 0 + 21a = 222 + -54 21a = 222 + -54 Combine like terms: 222 + -54 = 168 21a = 168 Divide each side by '21'. a = 8 Simplifying a = 8
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