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Simplifying 5z + 8 = 6z + 40 Reorder the terms: 8 + 5z = 6z + 40 Reorder the terms: 8 + 5z = 40 + 6z Solving 8 + 5z = 40 + 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. 8 + 5z + -6z = 40 + 6z + -6z Combine like terms: 5z + -6z = -1z 8 + -1z = 40 + 6z + -6z Combine like terms: 6z + -6z = 0 8 + -1z = 40 + 0 8 + -1z = 40 Add '-8' to each side of the equation. 8 + -8 + -1z = 40 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = 40 + -8 -1z = 40 + -8 Combine like terms: 40 + -8 = 32 -1z = 32 Divide each side by '-1'. z = -32 Simplifying z = -32
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