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Simplifying 0.05a + 0.01(90) = 0.02(a + 90) Multiply 0.01 * 90 0.05a + 0.9 = 0.02(a + 90) Reorder the terms: 0.9 + 0.05a = 0.02(a + 90) Reorder the terms: 0.9 + 0.05a = 0.02(90 + a) 0.9 + 0.05a = (90 * 0.02 + a * 0.02) 0.9 + 0.05a = (1.8 + 0.02a) Solving 0.9 + 0.05a = 1.8 + 0.02a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.02a' to each side of the equation. 0.9 + 0.05a + -0.02a = 1.8 + 0.02a + -0.02a Combine like terms: 0.05a + -0.02a = 0.03a 0.9 + 0.03a = 1.8 + 0.02a + -0.02a Combine like terms: 0.02a + -0.02a = 0.00 0.9 + 0.03a = 1.8 + 0.00 0.9 + 0.03a = 1.8 Add '-0.9' to each side of the equation. 0.9 + -0.9 + 0.03a = 1.8 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.03a = 1.8 + -0.9 0.03a = 1.8 + -0.9 Combine like terms: 1.8 + -0.9 = 0.9 0.03a = 0.9 Divide each side by '0.03'. a = 30 Simplifying a = 30
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