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Simplifying 0.5z + -4 = 3z + -24 Reorder the terms: -4 + 0.5z = 3z + -24 Reorder the terms: -4 + 0.5z = -24 + 3z Solving -4 + 0.5z = -24 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -4 + 0.5z + -3z = -24 + 3z + -3z Combine like terms: 0.5z + -3z = -2.5z -4 + -2.5z = -24 + 3z + -3z Combine like terms: 3z + -3z = 0 -4 + -2.5z = -24 + 0 -4 + -2.5z = -24 Add '4' to each side of the equation. -4 + 4 + -2.5z = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -2.5z = -24 + 4 -2.5z = -24 + 4 Combine like terms: -24 + 4 = -20 -2.5z = -20 Divide each side by '-2.5'. z = 8 Simplifying z = 8
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