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Simplifying 6z + 37 = 3z + 33 Reorder the terms: 37 + 6z = 3z + 33 Reorder the terms: 37 + 6z = 33 + 3z Solving 37 + 6z = 33 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 37 + 6z + -3z = 33 + 3z + -3z Combine like terms: 6z + -3z = 3z 37 + 3z = 33 + 3z + -3z Combine like terms: 3z + -3z = 0 37 + 3z = 33 + 0 37 + 3z = 33 Add '-37' to each side of the equation. 37 + -37 + 3z = 33 + -37 Combine like terms: 37 + -37 = 0 0 + 3z = 33 + -37 3z = 33 + -37 Combine like terms: 33 + -37 = -4 3z = -4 Divide each side by '3'. z = -1.333333333 Simplifying z = -1.333333333
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