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Simplifying 8(3 + -6a) = 9 + 3a (3 * 8 + -6a * 8) = 9 + 3a (24 + -48a) = 9 + 3a Solving 24 + -48a = 9 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 24 + -48a + -3a = 9 + 3a + -3a Combine like terms: -48a + -3a = -51a 24 + -51a = 9 + 3a + -3a Combine like terms: 3a + -3a = 0 24 + -51a = 9 + 0 24 + -51a = 9 Add '-24' to each side of the equation. 24 + -24 + -51a = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -51a = 9 + -24 -51a = 9 + -24 Combine like terms: 9 + -24 = -15 -51a = -15 Divide each side by '-51'. a = 0.2941176471 Simplifying a = 0.2941176471
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