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Simplifying 0.45a + -0.35(20 + -1a) = 0.02(50) 0.45a + (20 * -0.35 + -1a * -0.35) = 0.02(50) 0.45a + (-7 + 0.35a) = 0.02(50) Reorder the terms: -7 + 0.45a + 0.35a = 0.02(50) Combine like terms: 0.45a + 0.35a = 0.8a -7 + 0.8a = 0.02(50) Multiply 0.02 * 50 -7 + 0.8a = 1 Solving -7 + 0.8a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 0.8a = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 0.8a = 1 + 7 0.8a = 1 + 7 Combine like terms: 1 + 7 = 8 0.8a = 8 Divide each side by '0.8'. a = 10 Simplifying a = 10
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