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Simplifying 5z + -7 = 5 + 2z Reorder the terms: -7 + 5z = 5 + 2z Solving -7 + 5z = 5 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -7 + 5z + -2z = 5 + 2z + -2z Combine like terms: 5z + -2z = 3z -7 + 3z = 5 + 2z + -2z Combine like terms: 2z + -2z = 0 -7 + 3z = 5 + 0 -7 + 3z = 5 Add '7' to each side of the equation. -7 + 7 + 3z = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 3z = 5 + 7 3z = 5 + 7 Combine like terms: 5 + 7 = 12 3z = 12 Divide each side by '3'. z = 4 Simplifying z = 4
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