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Simplifying 0.5a + 4 = a + -15 Reorder the terms: 4 + 0.5a = a + -15 Reorder the terms: 4 + 0.5a = -15 + a Solving 4 + 0.5a = -15 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 4 + 0.5a + -1a = -15 + a + -1a Combine like terms: 0.5a + -1a = -0.5a 4 + -0.5a = -15 + a + -1a Combine like terms: a + -1a = 0 4 + -0.5a = -15 + 0 4 + -0.5a = -15 Add '-4' to each side of the equation. 4 + -4 + -0.5a = -15 + -4 Combine like terms: 4 + -4 = 0 0 + -0.5a = -15 + -4 -0.5a = -15 + -4 Combine like terms: -15 + -4 = -19 -0.5a = -19 Divide each side by '-0.5'. a = 38 Simplifying a = 38
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