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Simplifying 0.40A + 75(0.65) = 0.50(A + 75) Multiply 75 * 0.65 0.40A + 48.75 = 0.50(A + 75) Reorder the terms: 48.75 + 0.40A = 0.50(A + 75) Reorder the terms: 48.75 + 0.40A = 0.50(75 + A) 48.75 + 0.40A = (75 * 0.50 + A * 0.50) 48.75 + 0.40A = (37.5 + 0.50A) Solving 48.75 + 0.40A = 37.5 + 0.50A Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-0.50A' to each side of the equation. 48.75 + 0.40A + -0.50A = 37.5 + 0.50A + -0.50A Combine like terms: 0.40A + -0.50A = -0.1A 48.75 + -0.1A = 37.5 + 0.50A + -0.50A Combine like terms: 0.50A + -0.50A = 0.00 48.75 + -0.1A = 37.5 + 0.00 48.75 + -0.1A = 37.5 Add '-48.75' to each side of the equation. 48.75 + -48.75 + -0.1A = 37.5 + -48.75 Combine like terms: 48.75 + -48.75 = 0.00 0.00 + -0.1A = 37.5 + -48.75 -0.1A = 37.5 + -48.75 Combine like terms: 37.5 + -48.75 = -11.25 -0.1A = -11.25 Divide each side by '-0.1'. A = 112.5 Simplifying A = 112.5
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