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Simplifying 2z + 7 = 42 + 3z + -5 Reorder the terms: 7 + 2z = 42 + 3z + -5 Reorder the terms: 7 + 2z = 42 + -5 + 3z Combine like terms: 42 + -5 = 37 7 + 2z = 37 + 3z Solving 7 + 2z = 37 + 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. 7 + 2z + -3z = 37 + 3z + -3z Combine like terms: 2z + -3z = -1z 7 + -1z = 37 + 3z + -3z Combine like terms: 3z + -3z = 0 7 + -1z = 37 + 0 7 + -1z = 37 Add '-7' to each side of the equation. 7 + -7 + -1z = 37 + -7 Combine like terms: 7 + -7 = 0 0 + -1z = 37 + -7 -1z = 37 + -7 Combine like terms: 37 + -7 = 30 -1z = 30 Divide each side by '-1'. z = -30 Simplifying z = -30
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