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Simplifying 42 + 0.05a = 42 + 0.08a Add '-42' to each side of the equation. 42 + -42 + 0.05a = 42 + -42 + 0.08a Combine like terms: 42 + -42 = 0 0 + 0.05a = 42 + -42 + 0.08a 0.05a = 42 + -42 + 0.08a Combine like terms: 42 + -42 = 0 0.05a = 0 + 0.08a 0.05a = 0.08a Solving 0.05a = 0.08a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.08a' to each side of the equation. 0.05a + -0.08a = 0.08a + -0.08a Combine like terms: 0.05a + -0.08a = -0.03a -0.03a = 0.08a + -0.08a Combine like terms: 0.08a + -0.08a = 0.00 -0.03a = 0.00 Divide each side by '-0.03'. a = 0 Simplifying a = 0
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