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Simplifying 40a + 0.50 = 80a + 0.10 Reorder the terms: 0.50 + 40a = 80a + 0.10 Reorder the terms: 0.50 + 40a = 0.10 + 80a Solving 0.50 + 40a = 0.10 + 80a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-80a' to each side of the equation. 0.50 + 40a + -80a = 0.10 + 80a + -80a Combine like terms: 40a + -80a = -40a 0.50 + -40a = 0.10 + 80a + -80a Combine like terms: 80a + -80a = 0 0.50 + -40a = 0.10 + 0 0.50 + -40a = 0.10 Add '-0.50' to each side of the equation. 0.50 + -0.50 + -40a = 0.10 + -0.50 Combine like terms: 0.50 + -0.50 = 0.00 0.00 + -40a = 0.10 + -0.50 -40a = 0.10 + -0.50 Combine like terms: 0.10 + -0.50 = -0.4 -40a = -0.4 Divide each side by '-40'. a = 0.01 Simplifying a = 0.01
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