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Simplifying 9 + 19z + -7 = 7z + 47 + -3z Reorder the terms: 9 + -7 + 19z = 7z + 47 + -3z Combine like terms: 9 + -7 = 2 2 + 19z = 7z + 47 + -3z Reorder the terms: 2 + 19z = 47 + 7z + -3z Combine like terms: 7z + -3z = 4z 2 + 19z = 47 + 4z Solving 2 + 19z = 47 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 2 + 19z + -4z = 47 + 4z + -4z Combine like terms: 19z + -4z = 15z 2 + 15z = 47 + 4z + -4z Combine like terms: 4z + -4z = 0 2 + 15z = 47 + 0 2 + 15z = 47 Add '-2' to each side of the equation. 2 + -2 + 15z = 47 + -2 Combine like terms: 2 + -2 = 0 0 + 15z = 47 + -2 15z = 47 + -2 Combine like terms: 47 + -2 = 45 15z = 45 Divide each side by '15'. z = 3 Simplifying z = 3
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