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Simplifying z + -7 = 1 + -2z Reorder the terms: -7 + z = 1 + -2z Solving -7 + z = 1 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -7 + z + 2z = 1 + -2z + 2z Combine like terms: z + 2z = 3z -7 + 3z = 1 + -2z + 2z Combine like terms: -2z + 2z = 0 -7 + 3z = 1 + 0 -7 + 3z = 1 Add '7' to each side of the equation. -7 + 7 + 3z = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 3z = 1 + 7 3z = 1 + 7 Combine like terms: 1 + 7 = 8 3z = 8 Divide each side by '3'. z = 2.666666667 Simplifying z = 2.666666667
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