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Simplifying 4(2 + -9z) = 7.9 + -35.2z (2 * 4 + -9z * 4) = 7.9 + -35.2z (8 + -36z) = 7.9 + -35.2z Solving 8 + -36z = 7.9 + -35.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '35.2z' to each side of the equation. 8 + -36z + 35.2z = 7.9 + -35.2z + 35.2z Combine like terms: -36z + 35.2z = -0.8z 8 + -0.8z = 7.9 + -35.2z + 35.2z Combine like terms: -35.2z + 35.2z = 0.0 8 + -0.8z = 7.9 + 0.0 8 + -0.8z = 7.9 Add '-8' to each side of the equation. 8 + -8 + -0.8z = 7.9 + -8 Combine like terms: 8 + -8 = 0 0 + -0.8z = 7.9 + -8 -0.8z = 7.9 + -8 Combine like terms: 7.9 + -8 = -0.1 -0.8z = -0.1 Divide each side by '-0.8'. z = 0.125 Simplifying z = 0.125
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