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Simplifying 4(7 + 3a) = 6a + -8 (7 * 4 + 3a * 4) = 6a + -8 (28 + 12a) = 6a + -8 Reorder the terms: 28 + 12a = -8 + 6a Solving 28 + 12a = -8 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 28 + 12a + -6a = -8 + 6a + -6a Combine like terms: 12a + -6a = 6a 28 + 6a = -8 + 6a + -6a Combine like terms: 6a + -6a = 0 28 + 6a = -8 + 0 28 + 6a = -8 Add '-28' to each side of the equation. 28 + -28 + 6a = -8 + -28 Combine like terms: 28 + -28 = 0 0 + 6a = -8 + -28 6a = -8 + -28 Combine like terms: -8 + -28 = -36 6a = -36 Divide each side by '6'. a = -6 Simplifying a = -6
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