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Simplifying 0.50a + 5 = 2a + -4 Reorder the terms: 5 + 0.50a = 2a + -4 Reorder the terms: 5 + 0.50a = -4 + 2a Solving 5 + 0.50a = -4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 5 + 0.50a + -2a = -4 + 2a + -2a Combine like terms: 0.50a + -2a = -1.5a 5 + -1.5a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + -1.5a = -4 + 0 5 + -1.5a = -4 Add '-5' to each side of the equation. 5 + -5 + -1.5a = -4 + -5 Combine like terms: 5 + -5 = 0 0 + -1.5a = -4 + -5 -1.5a = -4 + -5 Combine like terms: -4 + -5 = -9 -1.5a = -9 Divide each side by '-1.5'. a = 6 Simplifying a = 6
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