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Simplifying 3(2a + -8) = 14a + 6 Reorder the terms: 3(-8 + 2a) = 14a + 6 (-8 * 3 + 2a * 3) = 14a + 6 (-24 + 6a) = 14a + 6 Reorder the terms: -24 + 6a = 6 + 14a Solving -24 + 6a = 6 + 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -24 + 6a + -14a = 6 + 14a + -14a Combine like terms: 6a + -14a = -8a -24 + -8a = 6 + 14a + -14a Combine like terms: 14a + -14a = 0 -24 + -8a = 6 + 0 -24 + -8a = 6 Add '24' to each side of the equation. -24 + 24 + -8a = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -8a = 6 + 24 -8a = 6 + 24 Combine like terms: 6 + 24 = 30 -8a = 30 Divide each side by '-8'. a = -3.75 Simplifying a = -3.75
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