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Simplifying 0.5(3a + -20) + 6 = 0 Reorder the terms: 0.5(-20 + 3a) + 6 = 0 (-20 * 0.5 + 3a * 0.5) + 6 = 0 (-10 + 1.5a) + 6 = 0 Reorder the terms: -10 + 6 + 1.5a = 0 Combine like terms: -10 + 6 = -4 -4 + 1.5a = 0 Solving -4 + 1.5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 1.5a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 1.5a = 0 + 4 1.5a = 0 + 4 Combine like terms: 0 + 4 = 4 1.5a = 4 Divide each side by '1.5'. a = 2.666666667 Simplifying a = 2.666666667
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