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Simplifying -9(8a + -6) = 34 + -5a Reorder the terms: -9(-6 + 8a) = 34 + -5a (-6 * -9 + 8a * -9) = 34 + -5a (54 + -72a) = 34 + -5a Solving 54 + -72a = 34 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 54 + -72a + 5a = 34 + -5a + 5a Combine like terms: -72a + 5a = -67a 54 + -67a = 34 + -5a + 5a Combine like terms: -5a + 5a = 0 54 + -67a = 34 + 0 54 + -67a = 34 Add '-54' to each side of the equation. 54 + -54 + -67a = 34 + -54 Combine like terms: 54 + -54 = 0 0 + -67a = 34 + -54 -67a = 34 + -54 Combine like terms: 34 + -54 = -20 -67a = -20 Divide each side by '-67'. a = 0.2985074627 Simplifying a = 0.2985074627
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