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Simplifying 12 + -6z = -10z + -7 Reorder the terms: 12 + -6z = -7 + -10z Solving 12 + -6z = -7 + -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. 12 + -6z + 10z = -7 + -10z + 10z Combine like terms: -6z + 10z = 4z 12 + 4z = -7 + -10z + 10z Combine like terms: -10z + 10z = 0 12 + 4z = -7 + 0 12 + 4z = -7 Add '-12' to each side of the equation. 12 + -12 + 4z = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 4z = -7 + -12 4z = -7 + -12 Combine like terms: -7 + -12 = -19 4z = -19 Divide each side by '4'. z = -4.75 Simplifying z = -4.75
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