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Simplifying 34z + 63 = -17z + 471 Reorder the terms: 63 + 34z = -17z + 471 Reorder the terms: 63 + 34z = 471 + -17z Solving 63 + 34z = 471 + -17z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17z' to each side of the equation. 63 + 34z + 17z = 471 + -17z + 17z Combine like terms: 34z + 17z = 51z 63 + 51z = 471 + -17z + 17z Combine like terms: -17z + 17z = 0 63 + 51z = 471 + 0 63 + 51z = 471 Add '-63' to each side of the equation. 63 + -63 + 51z = 471 + -63 Combine like terms: 63 + -63 = 0 0 + 51z = 471 + -63 51z = 471 + -63 Combine like terms: 471 + -63 = 408 51z = 408 Divide each side by '51'. z = 8 Simplifying z = 8
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