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Simplifying -1z + -9 + -3 = 6 + z Reorder the terms: -9 + -3 + -1z = 6 + z Combine like terms: -9 + -3 = -12 -12 + -1z = 6 + z Solving -12 + -1z = 6 + z 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. -12 + -1z + -1z = 6 + z + -1z Combine like terms: -1z + -1z = -2z -12 + -2z = 6 + z + -1z Combine like terms: z + -1z = 0 -12 + -2z = 6 + 0 -12 + -2z = 6 Add '12' to each side of the equation. -12 + 12 + -2z = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -2z = 6 + 12 -2z = 6 + 12 Combine like terms: 6 + 12 = 18 -2z = 18 Divide each side by '-2'. z = -9 Simplifying z = -9
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