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Simplifying -8(a + -3) + 4(3 + -7a) = 0 Reorder the terms: -8(-3 + a) + 4(3 + -7a) = 0 (-3 * -8 + a * -8) + 4(3 + -7a) = 0 (24 + -8a) + 4(3 + -7a) = 0 24 + -8a + (3 * 4 + -7a * 4) = 0 24 + -8a + (12 + -28a) = 0 Reorder the terms: 24 + 12 + -8a + -28a = 0 Combine like terms: 24 + 12 = 36 36 + -8a + -28a = 0 Combine like terms: -8a + -28a = -36a 36 + -36a = 0 Solving 36 + -36a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -36a = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -36a = 0 + -36 -36a = 0 + -36 Combine like terms: 0 + -36 = -36 -36a = -36 Divide each side by '-36'. a = 1 Simplifying a = 1
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