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Simplifying 4(0.5 + -6.7z) = 1.8 + -26.4z (0.5 * 4 + -6.7z * 4) = 1.8 + -26.4z (2 + -26.8z) = 1.8 + -26.4z Solving 2 + -26.8z = 1.8 + -26.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '26.4z' to each side of the equation. 2 + -26.8z + 26.4z = 1.8 + -26.4z + 26.4z Combine like terms: -26.8z + 26.4z = -0.4z 2 + -0.4z = 1.8 + -26.4z + 26.4z Combine like terms: -26.4z + 26.4z = 0.0 2 + -0.4z = 1.8 + 0.0 2 + -0.4z = 1.8 Add '-2' to each side of the equation. 2 + -2 + -0.4z = 1.8 + -2 Combine like terms: 2 + -2 = 0 0 + -0.4z = 1.8 + -2 -0.4z = 1.8 + -2 Combine like terms: 1.8 + -2 = -0.2 -0.4z = -0.2 Divide each side by '-0.4'. z = 0.5 Simplifying z = 0.5
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