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Simplifying 3z + -10z = 12z + -42 Combine like terms: 3z + -10z = -7z -7z = 12z + -42 Reorder the terms: -7z = -42 + 12z Solving -7z = -42 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -7z + -12z = -42 + 12z + -12z Combine like terms: -7z + -12z = -19z -19z = -42 + 12z + -12z Combine like terms: 12z + -12z = 0 -19z = -42 + 0 -19z = -42 Divide each side by '-19'. z = 2.210526316 Simplifying z = 2.210526316
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