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Simplifying 4a + 32 = 9a + -1(18 + -9a) Reorder the terms: 32 + 4a = 9a + -1(18 + -9a) 32 + 4a = 9a + (18 * -1 + -9a * -1) 32 + 4a = 9a + (-18 + 9a) Reorder the terms: 32 + 4a = -18 + 9a + 9a Combine like terms: 9a + 9a = 18a 32 + 4a = -18 + 18a Solving 32 + 4a = -18 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 32 + 4a + -18a = -18 + 18a + -18a Combine like terms: 4a + -18a = -14a 32 + -14a = -18 + 18a + -18a Combine like terms: 18a + -18a = 0 32 + -14a = -18 + 0 32 + -14a = -18 Add '-32' to each side of the equation. 32 + -32 + -14a = -18 + -32 Combine like terms: 32 + -32 = 0 0 + -14a = -18 + -32 -14a = -18 + -32 Combine like terms: -18 + -32 = -50 -14a = -50 Divide each side by '-14'. a = 3.571428571 Simplifying a = 3.571428571
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