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Simplifying z + -4z + 17z + -11z + 12 = -6 Reorder the terms: 12 + z + -4z + 17z + -11z = -6 Combine like terms: z + -4z = -3z 12 + -3z + 17z + -11z = -6 Combine like terms: -3z + 17z = 14z 12 + 14z + -11z = -6 Combine like terms: 14z + -11z = 3z 12 + 3z = -6 Solving 12 + 3z = -6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3z = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = -6 + -12 3z = -6 + -12 Combine like terms: -6 + -12 = -18 3z = -18 Divide each side by '3'. z = -6 Simplifying z = -6
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