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Simplifying 0.5(a + -6) = -7 Reorder the terms: 0.5(-6 + a) = -7 (-6 * 0.5 + a * 0.5) = -7 (-3 + 0.5a) = -7 Solving -3 + 0.5a = -7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 0.5a = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 0.5a = -7 + 3 0.5a = -7 + 3 Combine like terms: -7 + 3 = -4 0.5a = -4 Divide each side by '0.5'. a = -8 Simplifying a = -8
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