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Simplifying 6(2a + -4) = 2(3a + -5) Reorder the terms: 6(-4 + 2a) = 2(3a + -5) (-4 * 6 + 2a * 6) = 2(3a + -5) (-24 + 12a) = 2(3a + -5) Reorder the terms: -24 + 12a = 2(-5 + 3a) -24 + 12a = (-5 * 2 + 3a * 2) -24 + 12a = (-10 + 6a) Solving -24 + 12a = -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. -24 + 12a + -6a = -10 + 6a + -6a Combine like terms: 12a + -6a = 6a -24 + 6a = -10 + 6a + -6a Combine like terms: 6a + -6a = 0 -24 + 6a = -10 + 0 -24 + 6a = -10 Add '24' to each side of the equation. -24 + 24 + 6a = -10 + 24 Combine like terms: -24 + 24 = 0 0 + 6a = -10 + 24 6a = -10 + 24 Combine like terms: -10 + 24 = 14 6a = 14 Divide each side by '6'. a = 2.333333333 Simplifying a = 2.333333333
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