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Simplifying 4(2a + 9) = -10a Reorder the terms: 4(9 + 2a) = -10a (9 * 4 + 2a * 4) = -10a (36 + 8a) = -10a Solving 36 + 8a = -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 36 + 8a + 10a = -10a + 10a Combine like terms: 8a + 10a = 18a 36 + 18a = -10a + 10a Combine like terms: -10a + 10a = 0 36 + 18a = 0 Add '-36' to each side of the equation. 36 + -36 + 18a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 18a = 0 + -36 18a = 0 + -36 Combine like terms: 0 + -36 = -36 18a = -36 Divide each side by '18'. a = -2 Simplifying a = -2
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