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Simplifying 6(a + 4) = 18 + -8a Reorder the terms: 6(4 + a) = 18 + -8a (4 * 6 + a * 6) = 18 + -8a (24 + 6a) = 18 + -8a Solving 24 + 6a = 18 + -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. 24 + 6a + 8a = 18 + -8a + 8a Combine like terms: 6a + 8a = 14a 24 + 14a = 18 + -8a + 8a Combine like terms: -8a + 8a = 0 24 + 14a = 18 + 0 24 + 14a = 18 Add '-24' to each side of the equation. 24 + -24 + 14a = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 14a = 18 + -24 14a = 18 + -24 Combine like terms: 18 + -24 = -6 14a = -6 Divide each side by '14'. a = -0.4285714286 Simplifying a = -0.4285714286
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