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Simplifying -4 + -1z = 8 + z Solving -4 + -1z = 8 + 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. -4 + -1z + -1z = 8 + z + -1z Combine like terms: -1z + -1z = -2z -4 + -2z = 8 + z + -1z Combine like terms: z + -1z = 0 -4 + -2z = 8 + 0 -4 + -2z = 8 Add '4' to each side of the equation. -4 + 4 + -2z = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -2z = 8 + 4 -2z = 8 + 4 Combine like terms: 8 + 4 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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