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Simplifying 10z + -6 = 12z + -12 Reorder the terms: -6 + 10z = 12z + -12 Reorder the terms: -6 + 10z = -12 + 12z Solving -6 + 10z = -12 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -6 + 10z + -12z = -12 + 12z + -12z Combine like terms: 10z + -12z = -2z -6 + -2z = -12 + 12z + -12z Combine like terms: 12z + -12z = 0 -6 + -2z = -12 + 0 -6 + -2z = -12 Add '6' to each side of the equation. -6 + 6 + -2z = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -2z = -12 + 6 -2z = -12 + 6 Combine like terms: -12 + 6 = -6 -2z = -6 Divide each side by '-2'. z = 3 Simplifying z = 3
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