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Simplifying 5z + -12 = 10 + -6z Reorder the terms: -12 + 5z = 10 + -6z Solving -12 + 5z = 10 + -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 = 10 + -6z + 6z Combine like terms: 5z + 6z = 11z -12 + 11z = 10 + -6z + 6z Combine like terms: -6z + 6z = 0 -12 + 11z = 10 + 0 -12 + 11z = 10 Add '12' to each side of the equation. -12 + 12 + 11z = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 11z = 10 + 12 11z = 10 + 12 Combine like terms: 10 + 12 = 22 11z = 22 Divide each side by '11'. z = 2 Simplifying z = 2
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