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Simplifying -6 = -3 + -7z + 6z Combine like terms: -7z + 6z = -1z -6 = -3 + -1z Solving -6 = -3 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -6 + z = -3 + -1z + z Combine like terms: -1z + z = 0 -6 + z = -3 + 0 -6 + z = -3 Add '6' to each side of the equation. -6 + 6 + z = -3 + 6 Combine like terms: -6 + 6 = 0 0 + z = -3 + 6 z = -3 + 6 Combine like terms: -3 + 6 = 3 z = 3 Simplifying z = 3
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