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Simplifying 7z + -1 = 3z + -29 Reorder the terms: -1 + 7z = 3z + -29 Reorder the terms: -1 + 7z = -29 + 3z Solving -1 + 7z = -29 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -1 + 7z + -3z = -29 + 3z + -3z Combine like terms: 7z + -3z = 4z -1 + 4z = -29 + 3z + -3z Combine like terms: 3z + -3z = 0 -1 + 4z = -29 + 0 -1 + 4z = -29 Add '1' to each side of the equation. -1 + 1 + 4z = -29 + 1 Combine like terms: -1 + 1 = 0 0 + 4z = -29 + 1 4z = -29 + 1 Combine like terms: -29 + 1 = -28 4z = -28 Divide each side by '4'. z = -7 Simplifying z = -7
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