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Simplifying 6a + -3(4a + -8) = 2a + 40 Reorder the terms: 6a + -3(-8 + 4a) = 2a + 40 6a + (-8 * -3 + 4a * -3) = 2a + 40 6a + (24 + -12a) = 2a + 40 Reorder the terms: 24 + 6a + -12a = 2a + 40 Combine like terms: 6a + -12a = -6a 24 + -6a = 2a + 40 Reorder the terms: 24 + -6a = 40 + 2a Solving 24 + -6a = 40 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 24 + -6a + -2a = 40 + 2a + -2a Combine like terms: -6a + -2a = -8a 24 + -8a = 40 + 2a + -2a Combine like terms: 2a + -2a = 0 24 + -8a = 40 + 0 24 + -8a = 40 Add '-24' to each side of the equation. 24 + -24 + -8a = 40 + -24 Combine like terms: 24 + -24 = 0 0 + -8a = 40 + -24 -8a = 40 + -24 Combine like terms: 40 + -24 = 16 -8a = 16 Divide each side by '-8'. a = -2 Simplifying a = -2
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