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Simplifying 7 + 6z = 8z + -12 Reorder the terms: 7 + 6z = -12 + 8z Solving 7 + 6z = -12 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 7 + 6z + -8z = -12 + 8z + -8z Combine like terms: 6z + -8z = -2z 7 + -2z = -12 + 8z + -8z Combine like terms: 8z + -8z = 0 7 + -2z = -12 + 0 7 + -2z = -12 Add '-7' to each side of the equation. 7 + -7 + -2z = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = -12 + -7 -2z = -12 + -7 Combine like terms: -12 + -7 = -19 -2z = -19 Divide each side by '-2'. z = 9.5 Simplifying z = 9.5
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