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Simplifying -3z + -1 = 2z + 5z Reorder the terms: -1 + -3z = 2z + 5z Combine like terms: 2z + 5z = 7z -1 + -3z = 7z Solving -1 + -3z = 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -1 + -3z + -7z = 7z + -7z Combine like terms: -3z + -7z = -10z -1 + -10z = 7z + -7z Combine like terms: 7z + -7z = 0 -1 + -10z = 0 Add '1' to each side of the equation. -1 + 1 + -10z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -10z = 0 + 1 -10z = 0 + 1 Combine like terms: 0 + 1 = 1 -10z = 1 Divide each side by '-10'. z = -0.1 Simplifying z = -0.1
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