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Simplifying 26.5 + 0.15a = 14.50 + 0.25a Solving 26.5 + 0.15a = 14.50 + 0.25a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.25a' to each side of the equation. 26.5 + 0.15a + -0.25a = 14.50 + 0.25a + -0.25a Combine like terms: 0.15a + -0.25a = -0.1a 26.5 + -0.1a = 14.50 + 0.25a + -0.25a Combine like terms: 0.25a + -0.25a = 0.00 26.5 + -0.1a = 14.50 + 0.00 26.5 + -0.1a = 14.50 Add '-26.5' to each side of the equation. 26.5 + -26.5 + -0.1a = 14.50 + -26.5 Combine like terms: 26.5 + -26.5 = 0.0 0.0 + -0.1a = 14.50 + -26.5 -0.1a = 14.50 + -26.5 Combine like terms: 14.50 + -26.5 = -12 -0.1a = -12 Divide each side by '-0.1'. a = 120 Simplifying a = 120
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