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Simplifying 24 + 10a = 9(-6 + 4a) 24 + 10a = (-6 * 9 + 4a * 9) 24 + 10a = (-54 + 36a) Solving 24 + 10a = -54 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. 24 + 10a + -36a = -54 + 36a + -36a Combine like terms: 10a + -36a = -26a 24 + -26a = -54 + 36a + -36a Combine like terms: 36a + -36a = 0 24 + -26a = -54 + 0 24 + -26a = -54 Add '-24' to each side of the equation. 24 + -24 + -26a = -54 + -24 Combine like terms: 24 + -24 = 0 0 + -26a = -54 + -24 -26a = -54 + -24 Combine like terms: -54 + -24 = -78 -26a = -78 Divide each side by '-26'. a = 3 Simplifying a = 3
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