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Simplifying 6z + 19 = 2z + 7 Reorder the terms: 19 + 6z = 2z + 7 Reorder the terms: 19 + 6z = 7 + 2z Solving 19 + 6z = 7 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 19 + 6z + -2z = 7 + 2z + -2z Combine like terms: 6z + -2z = 4z 19 + 4z = 7 + 2z + -2z Combine like terms: 2z + -2z = 0 19 + 4z = 7 + 0 19 + 4z = 7 Add '-19' to each side of the equation. 19 + -19 + 4z = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 4z = 7 + -19 4z = 7 + -19 Combine like terms: 7 + -19 = -12 4z = -12 Divide each side by '4'. z = -3 Simplifying z = -3
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