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Simplifying 7z + -29 = -38 + 4z Reorder the terms: -29 + 7z = -38 + 4z Solving -29 + 7z = -38 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -29 + 7z + -4z = -38 + 4z + -4z Combine like terms: 7z + -4z = 3z -29 + 3z = -38 + 4z + -4z Combine like terms: 4z + -4z = 0 -29 + 3z = -38 + 0 -29 + 3z = -38 Add '29' to each side of the equation. -29 + 29 + 3z = -38 + 29 Combine like terms: -29 + 29 = 0 0 + 3z = -38 + 29 3z = -38 + 29 Combine like terms: -38 + 29 = -9 3z = -9 Divide each side by '3'. z = -3 Simplifying z = -3
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