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Simplifying 4 + -5z = 12 + z Solving 4 + -5z = 12 + 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 + -5z + -1z = 12 + z + -1z Combine like terms: -5z + -1z = -6z 4 + -6z = 12 + z + -1z Combine like terms: z + -1z = 0 4 + -6z = 12 + 0 4 + -6z = 12 Add '-4' to each side of the equation. 4 + -4 + -6z = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -6z = 12 + -4 -6z = 12 + -4 Combine like terms: 12 + -4 = 8 -6z = 8 Divide each side by '-6'. z = -1.333333333 Simplifying z = -1.333333333
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