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Simplifying 12.53a + 0.09 = 13.03a + -0.08 Reorder the terms: 0.09 + 12.53a = 13.03a + -0.08 Reorder the terms: 0.09 + 12.53a = -0.08 + 13.03a Solving 0.09 + 12.53a = -0.08 + 13.03a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13.03a' to each side of the equation. 0.09 + 12.53a + -13.03a = -0.08 + 13.03a + -13.03a Combine like terms: 12.53a + -13.03a = -0.5a 0.09 + -0.5a = -0.08 + 13.03a + -13.03a Combine like terms: 13.03a + -13.03a = 0.00 0.09 + -0.5a = -0.08 + 0.00 0.09 + -0.5a = -0.08 Add '-0.09' to each side of the equation. 0.09 + -0.09 + -0.5a = -0.08 + -0.09 Combine like terms: 0.09 + -0.09 = 0.00 0.00 + -0.5a = -0.08 + -0.09 -0.5a = -0.08 + -0.09 Combine like terms: -0.08 + -0.09 = -0.17 -0.5a = -0.17 Divide each side by '-0.5'. a = 0.34 Simplifying a = 0.34
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