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Simplifying -4z + -14 = -5z + -12 Reorder the terms: -14 + -4z = -5z + -12 Reorder the terms: -14 + -4z = -12 + -5z Solving -14 + -4z = -12 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -14 + -4z + 5z = -12 + -5z + 5z Combine like terms: -4z + 5z = 1z -14 + 1z = -12 + -5z + 5z Combine like terms: -5z + 5z = 0 -14 + 1z = -12 + 0 -14 + 1z = -12 Add '14' to each side of the equation. -14 + 14 + 1z = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 1z = -12 + 14 1z = -12 + 14 Combine like terms: -12 + 14 = 2 1z = 2 Divide each side by '1'. z = 2 Simplifying z = 2
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