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Simplifying 2z + 2 = 5z + -7 Reorder the terms: 2 + 2z = 5z + -7 Reorder the terms: 2 + 2z = -7 + 5z Solving 2 + 2z = -7 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 2 + 2z + -5z = -7 + 5z + -5z Combine like terms: 2z + -5z = -3z 2 + -3z = -7 + 5z + -5z Combine like terms: 5z + -5z = 0 2 + -3z = -7 + 0 2 + -3z = -7 Add '-2' to each side of the equation. 2 + -2 + -3z = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -3z = -7 + -2 -3z = -7 + -2 Combine like terms: -7 + -2 = -9 -3z = -9 Divide each side by '-3'. z = 3 Simplifying z = 3
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