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Simplifying 37 = 7 + 6z Solving 37 = 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. 37 + -6z = 7 + 6z + -6z Combine like terms: 6z + -6z = 0 37 + -6z = 7 + 0 37 + -6z = 7 Add '-37' to each side of the equation. 37 + -37 + -6z = 7 + -37 Combine like terms: 37 + -37 = 0 0 + -6z = 7 + -37 -6z = 7 + -37 Combine like terms: 7 + -37 = -30 -6z = -30 Divide each side by '-6'. z = 5 Simplifying z = 5
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