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Simplifying 19 = 7z + -5z + 1 Reorder the terms: 19 = 1 + 7z + -5z Combine like terms: 7z + -5z = 2z 19 = 1 + 2z Solving 19 = 1 + 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 + -2z = 1 + 2z + -2z Combine like terms: 2z + -2z = 0 19 + -2z = 1 + 0 19 + -2z = 1 Add '-19' to each side of the equation. 19 + -19 + -2z = 1 + -19 Combine like terms: 19 + -19 = 0 0 + -2z = 1 + -19 -2z = 1 + -19 Combine like terms: 1 + -19 = -18 -2z = -18 Divide each side by '-2'. z = 9 Simplifying z = 9
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