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Simplifying 5z + 7 = 6z + -7 Reorder the terms: 7 + 5z = 6z + -7 Reorder the terms: 7 + 5z = -7 + 6z Solving 7 + 5z = -7 + 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 + 5z + -6z = -7 + 6z + -6z Combine like terms: 5z + -6z = -1z 7 + -1z = -7 + 6z + -6z Combine like terms: 6z + -6z = 0 7 + -1z = -7 + 0 7 + -1z = -7 Add '-7' to each side of the equation. 7 + -7 + -1z = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = -7 + -7 -1z = -7 + -7 Combine like terms: -7 + -7 = -14 -1z = -14 Divide each side by '-1'. z = 14 Simplifying z = 14
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