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