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Simplifying 0.5(a + -3) + 4 = 7.5 + -5 Reorder the terms: 0.5(-3 + a) + 4 = 7.5 + -5 (-3 * 0.5 + a * 0.5) + 4 = 7.5 + -5 (-1.5 + 0.5a) + 4 = 7.5 + -5 Reorder the terms: -1.5 + 4 + 0.5a = 7.5 + -5 Combine like terms: -1.5 + 4 = 2.5 2.5 + 0.5a = 7.5 + -5 Combine like terms: 7.5 + -5 = 2.5 2.5 + 0.5a = 2.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 0.5a = 2.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 0.5a = 2.5 + -2.5 0.5a = 2.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.5a = 0.0 Solving 0.5a = 0.0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '0.5'. a = 0 Simplifying a = 0
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