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Simplifying 0.72z + -19.7 = 0.3(0.2z + 1.8) Reorder the terms: -19.7 + 0.72z = 0.3(0.2z + 1.8) Reorder the terms: -19.7 + 0.72z = 0.3(1.8 + 0.2z) -19.7 + 0.72z = (1.8 * 0.3 + 0.2z * 0.3) -19.7 + 0.72z = (0.54 + 0.06z) Solving -19.7 + 0.72z = 0.54 + 0.06z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.06z' to each side of the equation. -19.7 + 0.72z + -0.06z = 0.54 + 0.06z + -0.06z Combine like terms: 0.72z + -0.06z = 0.66z -19.7 + 0.66z = 0.54 + 0.06z + -0.06z Combine like terms: 0.06z + -0.06z = 0.00 -19.7 + 0.66z = 0.54 + 0.00 -19.7 + 0.66z = 0.54 Add '19.7' to each side of the equation. -19.7 + 19.7 + 0.66z = 0.54 + 19.7 Combine like terms: -19.7 + 19.7 = 0.0 0.0 + 0.66z = 0.54 + 19.7 0.66z = 0.54 + 19.7 Combine like terms: 0.54 + 19.7 = 20.24 0.66z = 20.24 Divide each side by '0.66'. z = 30.66666667 Simplifying z = 30.66666667
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