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Simplifying 4.5 + -4(1 + -7z) = 15.5 4.5 + (1 * -4 + -7z * -4) = 15.5 4.5 + (-4 + 28z) = 15.5 Combine like terms: 4.5 + -4 = 0.5 0.5 + 28z = 15.5 Solving 0.5 + 28z = 15.5 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 28z = 15.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 28z = 15.5 + -0.5 28z = 15.5 + -0.5 Combine like terms: 15.5 + -0.5 = 15 28z = 15 Divide each side by '28'. z = 0.5357142857 Simplifying z = 0.5357142857
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