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Simplifying -4 + -7(8a + -6) = 38 + 6a Reorder the terms: -4 + -7(-6 + 8a) = 38 + 6a -4 + (-6 * -7 + 8a * -7) = 38 + 6a -4 + (42 + -56a) = 38 + 6a Combine like terms: -4 + 42 = 38 38 + -56a = 38 + 6a Add '-38' to each side of the equation. 38 + -38 + -56a = 38 + -38 + 6a Combine like terms: 38 + -38 = 0 0 + -56a = 38 + -38 + 6a -56a = 38 + -38 + 6a Combine like terms: 38 + -38 = 0 -56a = 0 + 6a -56a = 6a Solving -56a = 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. -56a + -6a = 6a + -6a Combine like terms: -56a + -6a = -62a -62a = 6a + -6a Combine like terms: 6a + -6a = 0 -62a = 0 Divide each side by '-62'. a = 0 Simplifying a = 0
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