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Simplifying 7(24 + -1a) = 2a + 69 (24 * 7 + -1a * 7) = 2a + 69 (168 + -7a) = 2a + 69 Reorder the terms: 168 + -7a = 69 + 2a Solving 168 + -7a = 69 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 168 + -7a + -2a = 69 + 2a + -2a Combine like terms: -7a + -2a = -9a 168 + -9a = 69 + 2a + -2a Combine like terms: 2a + -2a = 0 168 + -9a = 69 + 0 168 + -9a = 69 Add '-168' to each side of the equation. 168 + -168 + -9a = 69 + -168 Combine like terms: 168 + -168 = 0 0 + -9a = 69 + -168 -9a = 69 + -168 Combine like terms: 69 + -168 = -99 -9a = -99 Divide each side by '-9'. a = 11 Simplifying a = 11
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