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Simplifying 9(6 + 2a) = -2(2 + -4a) (6 * 9 + 2a * 9) = -2(2 + -4a) (54 + 18a) = -2(2 + -4a) 54 + 18a = (2 * -2 + -4a * -2) 54 + 18a = (-4 + 8a) Solving 54 + 18a = -4 + 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. 54 + 18a + -8a = -4 + 8a + -8a Combine like terms: 18a + -8a = 10a 54 + 10a = -4 + 8a + -8a Combine like terms: 8a + -8a = 0 54 + 10a = -4 + 0 54 + 10a = -4 Add '-54' to each side of the equation. 54 + -54 + 10a = -4 + -54 Combine like terms: 54 + -54 = 0 0 + 10a = -4 + -54 10a = -4 + -54 Combine like terms: -4 + -54 = -58 10a = -58 Divide each side by '10'. a = -5.8 Simplifying a = -5.8
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