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Simplifying 10z + 7 = 12z + -7 Reorder the terms: 7 + 10z = 12z + -7 Reorder the terms: 7 + 10z = -7 + 12z Solving 7 + 10z = -7 + 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. 7 + 10z + -12z = -7 + 12z + -12z Combine like terms: 10z + -12z = -2z 7 + -2z = -7 + 12z + -12z Combine like terms: 12z + -12z = 0 7 + -2z = -7 + 0 7 + -2z = -7 Add '-7' to each side of the equation. 7 + -7 + -2z = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = -7 + -7 -2z = -7 + -7 Combine like terms: -7 + -7 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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