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Simplifying 32.4(0.97) + 11.6(0.01) = 43(z) Multiply 32.4 * 0.97 31.428 + 11.6(0.01) = 43(z) Multiply 11.6 * 0.01 31.428 + 0.116 = 43(z) Combine like terms: 31.428 + 0.116 = 31.544 31.544 = 43(z) Solving 31.544 = 43z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-43z' to each side of the equation. 31.544 + -43z = 43z + -43z Combine like terms: 43z + -43z = 0 31.544 + -43z = 0 Add '-31.544' to each side of the equation. 31.544 + -31.544 + -43z = 0 + -31.544 Combine like terms: 31.544 + -31.544 = 0.000 0.000 + -43z = 0 + -31.544 -43z = 0 + -31.544 Combine like terms: 0 + -31.544 = -31.544 -43z = -31.544 Divide each side by '-43'. z = 0.7335813953 Simplifying z = 0.7335813953
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