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Simplifying 7z + -29 = -11 + z Reorder the terms: -29 + 7z = -11 + z Solving -29 + 7z = -11 + 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. -29 + 7z + -1z = -11 + z + -1z Combine like terms: 7z + -1z = 6z -29 + 6z = -11 + z + -1z Combine like terms: z + -1z = 0 -29 + 6z = -11 + 0 -29 + 6z = -11 Add '29' to each side of the equation. -29 + 29 + 6z = -11 + 29 Combine like terms: -29 + 29 = 0 0 + 6z = -11 + 29 6z = -11 + 29 Combine like terms: -11 + 29 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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