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Simplifying -4(8a + 4) = 10 + -6a Reorder the terms: -4(4 + 8a) = 10 + -6a (4 * -4 + 8a * -4) = 10 + -6a (-16 + -32a) = 10 + -6a Solving -16 + -32a = 10 + -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. -16 + -32a + 6a = 10 + -6a + 6a Combine like terms: -32a + 6a = -26a -16 + -26a = 10 + -6a + 6a Combine like terms: -6a + 6a = 0 -16 + -26a = 10 + 0 -16 + -26a = 10 Add '16' to each side of the equation. -16 + 16 + -26a = 10 + 16 Combine like terms: -16 + 16 = 0 0 + -26a = 10 + 16 -26a = 10 + 16 Combine like terms: 10 + 16 = 26 -26a = 26 Divide each side by '-26'. a = -1 Simplifying a = -1
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