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Simplifying 5z + -12 = -5 + 6z Reorder the terms: -12 + 5z = -5 + 6z Solving -12 + 5z = -5 + 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 = -5 + 6z + -6z Combine like terms: 5z + -6z = -1z -12 + -1z = -5 + 6z + -6z Combine like terms: 6z + -6z = 0 -12 + -1z = -5 + 0 -12 + -1z = -5 Add '12' to each side of the equation. -12 + 12 + -1z = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -1z = -5 + 12 -1z = -5 + 12 Combine like terms: -5 + 12 = 7 -1z = 7 Divide each side by '-1'. z = -7 Simplifying z = -7
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