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Simplifying -7z + -7 = -5z + 5 Reorder the terms: -7 + -7z = -5z + 5 Reorder the terms: -7 + -7z = 5 + -5z Solving -7 + -7z = 5 + -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. -7 + -7z + 5z = 5 + -5z + 5z Combine like terms: -7z + 5z = -2z -7 + -2z = 5 + -5z + 5z Combine like terms: -5z + 5z = 0 -7 + -2z = 5 + 0 -7 + -2z = 5 Add '7' to each side of the equation. -7 + 7 + -2z = 5 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = 5 + 7 -2z = 5 + 7 Combine like terms: 5 + 7 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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