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Simplifying -10z + 7 = 8 + 6z Reorder the terms: 7 + -10z = 8 + 6z Solving 7 + -10z = 8 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 7 + -10z + -6z = 8 + 6z + -6z Combine like terms: -10z + -6z = -16z 7 + -16z = 8 + 6z + -6z Combine like terms: 6z + -6z = 0 7 + -16z = 8 + 0 7 + -16z = 8 Add '-7' to each side of the equation. 7 + -7 + -16z = 8 + -7 Combine like terms: 7 + -7 = 0 0 + -16z = 8 + -7 -16z = 8 + -7 Combine like terms: 8 + -7 = 1 -16z = 1 Divide each side by '-16'. z = -0.0625 Simplifying z = -0.0625
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