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Simplifying 2z + -7 + -1 = z + -1 Reorder the terms: -7 + -1 + 2z = z + -1 Combine like terms: -7 + -1 = -8 -8 + 2z = z + -1 Reorder the terms: -8 + 2z = -1 + z Solving -8 + 2z = -1 + 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. -8 + 2z + -1z = -1 + z + -1z Combine like terms: 2z + -1z = 1z -8 + 1z = -1 + z + -1z Combine like terms: z + -1z = 0 -8 + 1z = -1 + 0 -8 + 1z = -1 Add '8' to each side of the equation. -8 + 8 + 1z = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = -1 + 8 1z = -1 + 8 Combine like terms: -1 + 8 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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