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Simplifying 7z + 12 = -15z Reorder the terms: 12 + 7z = -15z Solving 12 + 7z = -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. 12 + 7z + 15z = -15z + 15z Combine like terms: 7z + 15z = 22z 12 + 22z = -15z + 15z Combine like terms: -15z + 15z = 0 12 + 22z = 0 Add '-12' to each side of the equation. 12 + -12 + 22z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 22z = 0 + -12 22z = 0 + -12 Combine like terms: 0 + -12 = -12 22z = -12 Divide each side by '22'. z = -0.5454545455 Simplifying z = -0.5454545455
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