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Simplifying -5z + -12 = -6z + 17 Reorder the terms: -12 + -5z = -6z + 17 Reorder the terms: -12 + -5z = 17 + -6z Solving -12 + -5z = 17 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -12 + -5z + 6z = 17 + -6z + 6z Combine like terms: -5z + 6z = 1z -12 + 1z = 17 + -6z + 6z Combine like terms: -6z + 6z = 0 -12 + 1z = 17 + 0 -12 + 1z = 17 Add '12' to each side of the equation. -12 + 12 + 1z = 17 + 12 Combine like terms: -12 + 12 = 0 0 + 1z = 17 + 12 1z = 17 + 12 Combine like terms: 17 + 12 = 29 1z = 29 Divide each side by '1'. z = 29 Simplifying z = 29
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