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Simplifying 3(2a + -8) = 8a + -14 Reorder the terms: 3(-8 + 2a) = 8a + -14 (-8 * 3 + 2a * 3) = 8a + -14 (-24 + 6a) = 8a + -14 Reorder the terms: -24 + 6a = -14 + 8a Solving -24 + 6a = -14 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -24 + 6a + -8a = -14 + 8a + -8a Combine like terms: 6a + -8a = -2a -24 + -2a = -14 + 8a + -8a Combine like terms: 8a + -8a = 0 -24 + -2a = -14 + 0 -24 + -2a = -14 Add '24' to each side of the equation. -24 + 24 + -2a = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -2a = -14 + 24 -2a = -14 + 24 Combine like terms: -14 + 24 = 10 -2a = 10 Divide each side by '-2'. a = -5 Simplifying a = -5
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