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