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Simplifying 4z + -42 = 12z + -42 Reorder the terms: -42 + 4z = 12z + -42 Reorder the terms: -42 + 4z = -42 + 12z Add '42' to each side of the equation. -42 + 42 + 4z = -42 + 42 + 12z Combine like terms: -42 + 42 = 0 0 + 4z = -42 + 42 + 12z 4z = -42 + 42 + 12z Combine like terms: -42 + 42 = 0 4z = 0 + 12z 4z = 12z Solving 4z = 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. 4z + -12z = 12z + -12z Combine like terms: 4z + -12z = -8z -8z = 12z + -12z Combine like terms: 12z + -12z = 0 -8z = 0 Divide each side by '-8'. z = 0 Simplifying z = 0
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