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Simplifying 5800 = 0.5a(400) Reorder the terms for easier multiplication: 5800 = 0.5 * 400a Multiply 0.5 * 400 5800 = 200a Solving 5800 = 200a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-200a' to each side of the equation. 5800 + -200a = 200a + -200a Combine like terms: 200a + -200a = 0 5800 + -200a = 0 Add '-5800' to each side of the equation. 5800 + -5800 + -200a = 0 + -5800 Combine like terms: 5800 + -5800 = 0 0 + -200a = 0 + -5800 -200a = 0 + -5800 Combine like terms: 0 + -5800 = -5800 -200a = -5800 Divide each side by '-200'. a = 29 Simplifying a = 29
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