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Simplifying 3z + -6 = -2z + 9z Reorder the terms: -6 + 3z = -2z + 9z Combine like terms: -2z + 9z = 7z -6 + 3z = 7z Solving -6 + 3z = 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 = 7z + -7z Combine like terms: 3z + -7z = -4z -6 + -4z = 7z + -7z Combine like terms: 7z + -7z = 0 -6 + -4z = 0 Add '6' to each side of the equation. -6 + 6 + -4z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -4z = 0 + 6 -4z = 0 + 6 Combine like terms: 0 + 6 = 6 -4z = 6 Divide each side by '-4'. z = -1.5 Simplifying z = -1.5
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