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Simplifying 0.5(3a + -12) = -4.5 Reorder the terms: 0.5(-12 + 3a) = -4.5 (-12 * 0.5 + 3a * 0.5) = -4.5 (-6 + 1.5a) = -4.5 Solving -6 + 1.5a = -4.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1.5a = -4.5 + 6 Combine like terms: -6 + 6 = 0 0 + 1.5a = -4.5 + 6 1.5a = -4.5 + 6 Combine like terms: -4.5 + 6 = 1.5 1.5a = 1.5 Divide each side by '1.5'. a = 1 Simplifying a = 1
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