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Simplifying -4z + -7 + 12z = 31 + -12 Reorder the terms: -7 + -4z + 12z = 31 + -12 Combine like terms: -4z + 12z = 8z -7 + 8z = 31 + -12 Combine like terms: 31 + -12 = 19 -7 + 8z = 19 Solving -7 + 8z = 19 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 = 19 + 7 Combine like terms: -7 + 7 = 0 0 + 8z = 19 + 7 8z = 19 + 7 Combine like terms: 19 + 7 = 26 8z = 26 Divide each side by '8'. z = 3.25 Simplifying z = 3.25
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