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Simplifying 8 + -2(3a + -4) = 2a Reorder the terms: 8 + -2(-4 + 3a) = 2a 8 + (-4 * -2 + 3a * -2) = 2a 8 + (8 + -6a) = 2a Combine like terms: 8 + 8 = 16 16 + -6a = 2a Solving 16 + -6a = 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. 16 + -6a + -2a = 2a + -2a Combine like terms: -6a + -2a = -8a 16 + -8a = 2a + -2a Combine like terms: 2a + -2a = 0 16 + -8a = 0 Add '-16' to each side of the equation. 16 + -16 + -8a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -8a = 0 + -16 -8a = 0 + -16 Combine like terms: 0 + -16 = -16 -8a = -16 Divide each side by '-8'. a = 2 Simplifying a = 2
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