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Simplifying -4z + -7 + 12z = 37 + -12 Reorder the terms: -7 + -4z + 12z = 37 + -12 Combine like terms: -4z + 12z = 8z -7 + 8z = 37 + -12 Combine like terms: 37 + -12 = 25 -7 + 8z = 25 Solving -7 + 8z = 25 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8z = 25 + 7 Combine like terms: -7 + 7 = 0 0 + 8z = 25 + 7 8z = 25 + 7 Combine like terms: 25 + 7 = 32 8z = 32 Divide each side by '8'. z = 4 Simplifying z = 4
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