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Simplifying 32 + 4a = 9(6a + 3) Reorder the terms: 32 + 4a = 9(3 + 6a) 32 + 4a = (3 * 9 + 6a * 9) 32 + 4a = (27 + 54a) Solving 32 + 4a = 27 + 54a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-54a' to each side of the equation. 32 + 4a + -54a = 27 + 54a + -54a Combine like terms: 4a + -54a = -50a 32 + -50a = 27 + 54a + -54a Combine like terms: 54a + -54a = 0 32 + -50a = 27 + 0 32 + -50a = 27 Add '-32' to each side of the equation. 32 + -32 + -50a = 27 + -32 Combine like terms: 32 + -32 = 0 0 + -50a = 27 + -32 -50a = 27 + -32 Combine like terms: 27 + -32 = -5 -50a = -5 Divide each side by '-50'. a = 0.1 Simplifying a = 0.1
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