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Simplifying -6 = (-1z + 6) + 2z Reorder the terms: -6 = (6 + -1z) + 2z Remove parenthesis around (6 + -1z) -6 = 6 + -1z + 2z Combine like terms: -1z + 2z = 1z -6 = 6 + 1z Solving -6 = 6 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -6 + -1z = 6 + 1z + -1z Combine like terms: 1z + -1z = 0 -6 + -1z = 6 + 0 -6 + -1z = 6 Add '6' to each side of the equation. -6 + 6 + -1z = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -1z = 6 + 6 -1z = 6 + 6 Combine like terms: 6 + 6 = 12 -1z = 12 Divide each side by '-1'. z = -12 Simplifying z = -12
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