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Simplifying 3(7 + 4a) + 6(-1 + -8a) = 51 (7 * 3 + 4a * 3) + 6(-1 + -8a) = 51 (21 + 12a) + 6(-1 + -8a) = 51 21 + 12a + (-1 * 6 + -8a * 6) = 51 21 + 12a + (-6 + -48a) = 51 Reorder the terms: 21 + -6 + 12a + -48a = 51 Combine like terms: 21 + -6 = 15 15 + 12a + -48a = 51 Combine like terms: 12a + -48a = -36a 15 + -36a = 51 Solving 15 + -36a = 51 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -36a = 51 + -15 Combine like terms: 15 + -15 = 0 0 + -36a = 51 + -15 -36a = 51 + -15 Combine like terms: 51 + -15 = 36 -36a = 36 Divide each side by '-36'. a = -1 Simplifying a = -1
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