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Simplifying 17z + 37 = 18z + 36 Reorder the terms: 37 + 17z = 18z + 36 Reorder the terms: 37 + 17z = 36 + 18z Solving 37 + 17z = 36 + 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 37 + 17z + -18z = 36 + 18z + -18z Combine like terms: 17z + -18z = -1z 37 + -1z = 36 + 18z + -18z Combine like terms: 18z + -18z = 0 37 + -1z = 36 + 0 37 + -1z = 36 Add '-37' to each side of the equation. 37 + -37 + -1z = 36 + -37 Combine like terms: 37 + -37 = 0 0 + -1z = 36 + -37 -1z = 36 + -37 Combine like terms: 36 + -37 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1
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