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Simplifying 10z + 7 = -7z + -11 Reorder the terms: 7 + 10z = -7z + -11 Reorder the terms: 7 + 10z = -11 + -7z Solving 7 + 10z = -11 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. 7 + 10z + 7z = -11 + -7z + 7z Combine like terms: 10z + 7z = 17z 7 + 17z = -11 + -7z + 7z Combine like terms: -7z + 7z = 0 7 + 17z = -11 + 0 7 + 17z = -11 Add '-7' to each side of the equation. 7 + -7 + 17z = -11 + -7 Combine like terms: 7 + -7 = 0 0 + 17z = -11 + -7 17z = -11 + -7 Combine like terms: -11 + -7 = -18 17z = -18 Divide each side by '17'. z = -1.058823529 Simplifying z = -1.058823529
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