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Simplifying 110 + 0.40a = 30 + 0.80a Solving 110 + 0.40a = 30 + 0.80a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.80a' to each side of the equation. 110 + 0.40a + -0.80a = 30 + 0.80a + -0.80a Combine like terms: 0.40a + -0.80a = -0.4a 110 + -0.4a = 30 + 0.80a + -0.80a Combine like terms: 0.80a + -0.80a = 0.00 110 + -0.4a = 30 + 0.00 110 + -0.4a = 30 Add '-110' to each side of the equation. 110 + -110 + -0.4a = 30 + -110 Combine like terms: 110 + -110 = 0 0 + -0.4a = 30 + -110 -0.4a = 30 + -110 Combine like terms: 30 + -110 = -80 -0.4a = -80 Divide each side by '-0.4'. a = 200 Simplifying a = 200
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