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Simplifying 6 + 19z + -4 = 7z + 155 + -5z Reorder the terms: 6 + -4 + 19z = 7z + 155 + -5z Combine like terms: 6 + -4 = 2 2 + 19z = 7z + 155 + -5z Reorder the terms: 2 + 19z = 155 + 7z + -5z Combine like terms: 7z + -5z = 2z 2 + 19z = 155 + 2z Solving 2 + 19z = 155 + 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. 2 + 19z + -2z = 155 + 2z + -2z Combine like terms: 19z + -2z = 17z 2 + 17z = 155 + 2z + -2z Combine like terms: 2z + -2z = 0 2 + 17z = 155 + 0 2 + 17z = 155 Add '-2' to each side of the equation. 2 + -2 + 17z = 155 + -2 Combine like terms: 2 + -2 = 0 0 + 17z = 155 + -2 17z = 155 + -2 Combine like terms: 155 + -2 = 153 17z = 153 Divide each side by '17'. z = 9 Simplifying z = 9
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