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Simplifying 12 + -15 = 6z + -3z Combine like terms: 12 + -15 = -3 -3 = 6z + -3z Combine like terms: 6z + -3z = 3z -3 = 3z Solving -3 = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -3 + -3z = 3z + -3z Combine like terms: 3z + -3z = 0 -3 + -3z = 0 Add '3' to each side of the equation. -3 + 3 + -3z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3z = 0 + 3 -3z = 0 + 3 Combine like terms: 0 + 3 = 3 -3z = 3 Divide each side by '-3'. z = -1 Simplifying z = -1
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