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Simplifying 6z + -19 = -12 + 5z Reorder the terms: -19 + 6z = -12 + 5z Solving -19 + 6z = -12 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -19 + 6z + -5z = -12 + 5z + -5z Combine like terms: 6z + -5z = 1z -19 + 1z = -12 + 5z + -5z Combine like terms: 5z + -5z = 0 -19 + 1z = -12 + 0 -19 + 1z = -12 Add '19' to each side of the equation. -19 + 19 + 1z = -12 + 19 Combine like terms: -19 + 19 = 0 0 + 1z = -12 + 19 1z = -12 + 19 Combine like terms: -12 + 19 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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