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Simplifying 42 = a + 0.05a Combine like terms: a + 0.05a = 1.05a 42 = 1.05a Solving 42 = 1.05a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.05a' to each side of the equation. 42 + -1.05a = 1.05a + -1.05a Combine like terms: 1.05a + -1.05a = 0.00 42 + -1.05a = 0.00 Add '-42' to each side of the equation. 42 + -42 + -1.05a = 0.00 + -42 Combine like terms: 42 + -42 = 0 0 + -1.05a = 0.00 + -42 -1.05a = 0.00 + -42 Combine like terms: 0.00 + -42 = -42 -1.05a = -42 Divide each side by '-1.05'. a = 40 Simplifying a = 40
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