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Simplifying 5z + 12 = 8 + -3z Reorder the terms: 12 + 5z = 8 + -3z Solving 12 + 5z = 8 + -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. 12 + 5z + 3z = 8 + -3z + 3z Combine like terms: 5z + 3z = 8z 12 + 8z = 8 + -3z + 3z Combine like terms: -3z + 3z = 0 12 + 8z = 8 + 0 12 + 8z = 8 Add '-12' to each side of the equation. 12 + -12 + 8z = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 8z = 8 + -12 8z = 8 + -12 Combine like terms: 8 + -12 = -4 8z = -4 Divide each side by '8'. z = -0.5 Simplifying z = -0.5
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