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Simplifying 5z + 3 = 6z + -6 Reorder the terms: 3 + 5z = 6z + -6 Reorder the terms: 3 + 5z = -6 + 6z Solving 3 + 5z = -6 + 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. 3 + 5z + -6z = -6 + 6z + -6z Combine like terms: 5z + -6z = -1z 3 + -1z = -6 + 6z + -6z Combine like terms: 6z + -6z = 0 3 + -1z = -6 + 0 3 + -1z = -6 Add '-3' to each side of the equation. 3 + -3 + -1z = -6 + -3 Combine like terms: 3 + -3 = 0 0 + -1z = -6 + -3 -1z = -6 + -3 Combine like terms: -6 + -3 = -9 -1z = -9 Divide each side by '-1'. z = 9 Simplifying z = 9
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