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Simplifying 5z + -6 = -12 + 8z Reorder the terms: -6 + 5z = -12 + 8z Solving -6 + 5z = -12 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -6 + 5z + -8z = -12 + 8z + -8z Combine like terms: 5z + -8z = -3z -6 + -3z = -12 + 8z + -8z Combine like terms: 8z + -8z = 0 -6 + -3z = -12 + 0 -6 + -3z = -12 Add '6' to each side of the equation. -6 + 6 + -3z = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -3z = -12 + 6 -3z = -12 + 6 Combine like terms: -12 + 6 = -6 -3z = -6 Divide each side by '-3'. z = 2 Simplifying z = 2
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