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Simplifying 0.5z + -4 = 5z + -31 Reorder the terms: -4 + 0.5z = 5z + -31 Reorder the terms: -4 + 0.5z = -31 + 5z Solving -4 + 0.5z = -31 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -4 + 0.5z + -5z = -31 + 5z + -5z Combine like terms: 0.5z + -5z = -4.5z -4 + -4.5z = -31 + 5z + -5z Combine like terms: 5z + -5z = 0 -4 + -4.5z = -31 + 0 -4 + -4.5z = -31 Add '4' to each side of the equation. -4 + 4 + -4.5z = -31 + 4 Combine like terms: -4 + 4 = 0 0 + -4.5z = -31 + 4 -4.5z = -31 + 4 Combine like terms: -31 + 4 = -27 -4.5z = -27 Divide each side by '-4.5'. z = 6 Simplifying z = 6
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