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Simplifying 3z + 6 = 7z + -30 Reorder the terms: 6 + 3z = 7z + -30 Reorder the terms: 6 + 3z = -30 + 7z Solving 6 + 3z = -30 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 6 + 3z + -7z = -30 + 7z + -7z Combine like terms: 3z + -7z = -4z 6 + -4z = -30 + 7z + -7z Combine like terms: 7z + -7z = 0 6 + -4z = -30 + 0 6 + -4z = -30 Add '-6' to each side of the equation. 6 + -6 + -4z = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -4z = -30 + -6 -4z = -30 + -6 Combine like terms: -30 + -6 = -36 -4z = -36 Divide each side by '-4'. z = 9 Simplifying z = 9
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