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Simplifying -10 + 8a = 6(a + -4) Reorder the terms: -10 + 8a = 6(-4 + a) -10 + 8a = (-4 * 6 + a * 6) -10 + 8a = (-24 + 6a) Solving -10 + 8a = -24 + 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. -10 + 8a + -6a = -24 + 6a + -6a Combine like terms: 8a + -6a = 2a -10 + 2a = -24 + 6a + -6a Combine like terms: 6a + -6a = 0 -10 + 2a = -24 + 0 -10 + 2a = -24 Add '10' to each side of the equation. -10 + 10 + 2a = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = -24 + 10 2a = -24 + 10 Combine like terms: -24 + 10 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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