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Simplifying -7z + 2z + 3z + -7 = 17 Reorder the terms: -7 + -7z + 2z + 3z = 17 Combine like terms: -7z + 2z = -5z -7 + -5z + 3z = 17 Combine like terms: -5z + 3z = -2z -7 + -2z = 17 Solving -7 + -2z = 17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2z = 17 + 7 Combine like terms: -7 + 7 = 0 0 + -2z = 17 + 7 -2z = 17 + 7 Combine like terms: 17 + 7 = 24 -2z = 24 Divide each side by '-2'. z = -12 Simplifying z = -12
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