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Simplifying 5z + 1 = 6z + -9 Reorder the terms: 1 + 5z = 6z + -9 Reorder the terms: 1 + 5z = -9 + 6z Solving 1 + 5z = -9 + 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. 1 + 5z + -6z = -9 + 6z + -6z Combine like terms: 5z + -6z = -1z 1 + -1z = -9 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + -1z = -9 + 0 1 + -1z = -9 Add '-1' to each side of the equation. 1 + -1 + -1z = -9 + -1 Combine like terms: 1 + -1 = 0 0 + -1z = -9 + -1 -1z = -9 + -1 Combine like terms: -9 + -1 = -10 -1z = -10 Divide each side by '-1'. z = 10 Simplifying z = 10
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