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Simplifying 4(a + 6) = 7 + -2a Reorder the terms: 4(6 + a) = 7 + -2a (6 * 4 + a * 4) = 7 + -2a (24 + 4a) = 7 + -2a Solving 24 + 4a = 7 + -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. 24 + 4a + 2a = 7 + -2a + 2a Combine like terms: 4a + 2a = 6a 24 + 6a = 7 + -2a + 2a Combine like terms: -2a + 2a = 0 24 + 6a = 7 + 0 24 + 6a = 7 Add '-24' to each side of the equation. 24 + -24 + 6a = 7 + -24 Combine like terms: 24 + -24 = 0 0 + 6a = 7 + -24 6a = 7 + -24 Combine like terms: 7 + -24 = -17 6a = -17 Divide each side by '6'. a = -2.833333333 Simplifying a = -2.833333333
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