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Simplifying 8 + -2a = 3(2a + 4) Reorder the terms: 8 + -2a = 3(4 + 2a) 8 + -2a = (4 * 3 + 2a * 3) 8 + -2a = (12 + 6a) Solving 8 + -2a = 12 + 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. 8 + -2a + -6a = 12 + 6a + -6a Combine like terms: -2a + -6a = -8a 8 + -8a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 8 + -8a = 12 + 0 8 + -8a = 12 Add '-8' to each side of the equation. 8 + -8 + -8a = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -8a = 12 + -8 -8a = 12 + -8 Combine like terms: 12 + -8 = 4 -8a = 4 Divide each side by '-8'. a = -0.5 Simplifying a = -0.5
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